Pith Number

pith:B6X3S4ZV

pith:2012:B6X3S4ZVS2YHS6NHBVHUFJKSLV

not attested not anchored not stored refs pending

Quantum Groups and Quantum Cohomology

Andrei Okounkov, Davesh Maulik

arxiv:1211.1287 v3 · 2012-11-06 · math.AG · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6X3S4ZVS2YHS6NHBVHUFJKSLV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Defects, nested instantons and comet shaped quivers

A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras

Charge functions for odd dimensional partitions

Shell formulas for instantons and gauge origami

Liouville Blocks from Spectral Networks

Receipt and verification

First computed	2026-05-18T00:14:07.166861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fafb9733596b07979a70d4f42a5525d7a467d17eed214a786c99857bcb81bb1

Aliases

arxiv: 1211.1287 · arxiv_version: 1211.1287v3 · doi: 10.48550/arxiv.1211.1287 · pith_short_12: B6X3S4ZVS2YH · pith_short_16: B6X3S4ZVS2YHS6NH · pith_short_8: B6X3S4ZV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B6X3S4ZVS2YHS6NHBVHUFJKSLV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0fafb9733596b07979a70d4f42a5525d7a467d17eed214a786c99857bcb81bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d961e87a2c09f68ae8ca23a68048158c43daa5588732991c096219fc5a7b81",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-06T16:09:34Z",
    "title_canon_sha256": "6f46db9e043c29b3b7030779f5473c11607d6da06ba10570b1d226a02c37273f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1287",
    "kind": "arxiv",
    "version": 3
  }
}