Pith Number

pith:3CQSL4SL

pith:2015:3CQSL4SL7WB7LQ24OD2Z4Q2RKL

not attested not anchored not stored refs pending

The greedy basis equals the theta basis

Dylan Rupel, Gregg Musiker, Greg Muller, Harold Williams, Man Wai Cheung, Mark Gross, Salvatore Stella

arxiv:1508.01404 v2 · 2015-08-06 · math.QA · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CQSL4SL7WB7LQ24OD2Z4Q2RKL}

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	2026-05-18T00:14:16.793309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a125f24bfd83f5c35c70f59e435152fac53c46094a363a6dd2f7c165f2d36a

Aliases

arxiv: 1508.01404 · arxiv_version: 1508.01404v2 · doi: 10.48550/arxiv.1508.01404 · pith_short_12: 3CQSL4SL7WB7 · pith_short_16: 3CQSL4SL7WB7LQ24 · pith_short_8: 3CQSL4SL

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/3CQSL4SL7WB7LQ24OD2Z4Q2RKL \
  | 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: d8a125f24bfd83f5c35c70f59e435152fac53c46094a363a6dd2f7c165f2d36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21edb29dc8c0d1884ff206b98e49568fe65271757690a1e05667bff4f93290b5",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-08-06T13:59:32Z",
    "title_canon_sha256": "770b614a61afefd1afdc30335612261ad733bf30e394f58d6ae5106bf3512cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01404",
    "kind": "arxiv",
    "version": 2
  }
}