Pith Number

pith:KJZT3SF7

pith:2003:KJZT3SF7IIL2UDDX2KSFZ4XDSB

not attested not anchored not stored refs pending

A characterization of the quantum cohomology ring of G/B and applications

Augustin-Liviu Mare

arxiv:math/0311320 v3 · 2003-11-19 · math.DG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJZT3SF7IIL2UDDX2KSFZ4XDSB}

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.

Receipt and verification

First computed	2026-05-18T01:05:26.719725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52733dc8bf4217aa0c77d2a45cf2e3906567c4fc222062c25f61dae13774de16

Aliases

arxiv: math/0311320 · arxiv_version: math/0311320v3 · doi: 10.48550/arxiv.math/0311320 · pith_short_12: KJZT3SF7IIL2 · pith_short_16: KJZT3SF7IIL2UDDX · pith_short_8: KJZT3SF7

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/KJZT3SF7IIL2UDDX2KSFZ4XDSB \
  | 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: 52733dc8bf4217aa0c77d2a45cf2e3906567c4fc222062c25f61dae13774de16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f7ac20e089776b0aece3e86b13fb840e58f9463c336c1a4781322f362f799f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-11-19T04:14:15Z",
    "title_canon_sha256": "356957d1d443dca1bf1869a0e29208591858c5c7de198f268a93606914ec74dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311320",
    "kind": "arxiv",
    "version": 3
  }
}