Pith Number

pith:ND35BVDQ

pith:2015:ND35BVDQYCWQQC7KBD6MBW47NC

not attested not anchored not stored refs pending

Quantum K-theoretic geometric Satake

Joel Kamnitzer, Sabin Cautis

arxiv:1509.00112 v3 · 2015-09-01 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ND35BVDQYCWQQC7KBD6MBW47NC}

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	2026-05-17T23:53:34.395187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f7d0d470c0ad080bea08fcc0db9f68a9c8a91a8fd22b14d05e10f86178062a

Aliases

arxiv: 1509.00112 · arxiv_version: 1509.00112v3 · doi: 10.48550/arxiv.1509.00112 · pith_short_12: ND35BVDQYCWQ · pith_short_16: ND35BVDQYCWQQC7K · pith_short_8: ND35BVDQ

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/ND35BVDQYCWQQC7KBD6MBW47NC \
  | 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: 68f7d0d470c0ad080bea08fcc0db9f68a9c8a91a8fd22b14d05e10f86178062a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305fa59bdf97a033132c3db32aaabcf565b58c83c012cf28cd34b8e012597aab",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-01T01:40:42Z",
    "title_canon_sha256": "084d16ab746b86ec832d9c4ba7469b6702817297fc7b953d6dbf916ea861a5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00112",
    "kind": "arxiv",
    "version": 3
  }
}