Pith Number

pith:C7NMTYVP

pith:2011:C7NMTYVPQ65WGQLWMJ4QTPM5CA

not attested not anchored not stored refs pending

Permutads

Jean-Louis Loday, Maria Ronco

arxiv:1105.5271 v2 · 2011-05-26 · math.QA · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7NMTYVPQ65WGQLWMJ4QTPM5CA}

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	2026-05-18T03:59:47.795324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17dac9e2af87bb634176627909bd9d101f41b55c6c68abf6f2e77f96e0515383

Aliases

arxiv: 1105.5271 · arxiv_version: 1105.5271v2 · doi: 10.48550/arxiv.1105.5271 · pith_short_12: C7NMTYVPQ65W · pith_short_16: C7NMTYVPQ65WGQLW · pith_short_8: C7NMTYVP

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/C7NMTYVPQ65WGQLWMJ4QTPM5CA \
  | 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: 17dac9e2af87bb634176627909bd9d101f41b55c6c68abf6f2e77f96e0515383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e758e54648dacf0257c1aafcddfbd90cbd4bbed81b531c1334f5d774567ee69c",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-05-26T13:09:13Z",
    "title_canon_sha256": "9e8c4f7600afc94570350aea33c94023b2b8e093236adb928f73e12b1518f450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5271",
    "kind": "arxiv",
    "version": 2
  }
}