Pith Number

pith:XCYNXITJ

pith:2011:XCYNXITJI263HXD4PWVKTQ74UV

not attested not anchored not stored refs pending

Combinatorics of $\gamma$-structures

Christian M. Reidys, Hillary S. W. Han, Thomas J. X. Li

arxiv:1112.4151 v2 · 2011-12-18 · 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{XCYNXITJI263HXD4PWVKTQ74UV}

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	2026-05-18T03:14:17.698568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b0dba26946bdb3dc7c7daaa9c3fca556bab8802fb3baa8b78d061b4d9316ba

Aliases

arxiv: 1112.4151 · arxiv_version: 1112.4151v2 · doi: 10.48550/arxiv.1112.4151 · pith_short_12: XCYNXITJI263 · pith_short_16: XCYNXITJI263HXD4 · pith_short_8: XCYNXITJ

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/XCYNXITJI263HXD4PWVKTQ74UV \
  | 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: b8b0dba26946bdb3dc7c7daaa9c3fca556bab8802fb3baa8b78d061b4d9316ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "118df43c02af0909526cd899613ca6c85064e92a969922d1d474b8e27089a0f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-18T12:33:18Z",
    "title_canon_sha256": "1203f6510e8d34fb5dd40e22b94ee2eaac79ab6ef43005c2e3fb8ca5aaf858e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4151",
    "kind": "arxiv",
    "version": 2
  }
}