Pith Number

pith:QCRJJ2OT

pith:2013:QCRJJ2OTWOLCRL7CTROUXC3CRP

not attested not anchored not stored refs pending

Root polytopes, parking functions, and the HOMFLY polynomial

Hitoshi Murakami, Tam\'as K\'alm\'an

arxiv:1305.4925 v1 · 2013-05-21 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCRJJ2OTWOLCRL7CTROUXC3CRP}

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	2026-05-18T03:25:14.946065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a294e9d3b39628afe29c5d4b8b628bf074e5d85b8018a5c2ea1d97c2cc46e3

Aliases

arxiv: 1305.4925 · arxiv_version: 1305.4925v1 · doi: 10.48550/arxiv.1305.4925 · pith_short_12: QCRJJ2OTWOLC · pith_short_16: QCRJJ2OTWOLCRL7C · pith_short_8: QCRJJ2OT

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/QCRJJ2OTWOLCRL7CTROUXC3CRP \
  | 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: 80a294e9d3b39628afe29c5d4b8b628bf074e5d85b8018a5c2ea1d97c2cc46e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d6677a2d380996e0f2d9552b905e08bf9a122b1bc7fe1d4bb91f60f3d2afa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-21T19:28:52Z",
    "title_canon_sha256": "c76fefa89ddf0b26748012cb0243bd3edcb280bd1605b366f19037974bbbaee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4925",
    "kind": "arxiv",
    "version": 1
  }
}