Pith Number

pith:PLJPSYXB

pith:2015:PLJPSYXBUKGJMQJKRQHDOJ3KBO

not attested not anchored not stored refs pending

Combinatorial Hopf Algebras of Simplicial Complexes

Carolina Benedetti, John Machacek, Joshua Hallam

arxiv:1505.04458 v2 · 2015-05-17 · 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{PLJPSYXBUKGJMQJKRQHDOJ3KBO}

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	2026-05-18T01:05:12.841717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad2f962e1a28c96412a8c0e37276a0bb336800754ee7ed9813e3d9dd6c34ad7

Aliases

arxiv: 1505.04458 · arxiv_version: 1505.04458v2 · doi: 10.48550/arxiv.1505.04458 · pith_short_12: PLJPSYXBUKGJ · pith_short_16: PLJPSYXBUKGJMQJK · pith_short_8: PLJPSYXB

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/PLJPSYXBUKGJMQJKRQHDOJ3KBO \
  | 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: 7ad2f962e1a28c96412a8c0e37276a0bb336800754ee7ed9813e3d9dd6c34ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd2d63caf04fa6148daa6fb7a0006de8b39807ee556ad01643c3918e5904775",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-17T21:21:03Z",
    "title_canon_sha256": "6b3e40816d838d7cb26e9e233003a9cfc99b2f2af31414ae1d16ca8e95dd271f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04458",
    "kind": "arxiv",
    "version": 2
  }
}