Pith Number

pith:NHAAH3YB

pith:2025:NHAAH3YBF5IXJQHFFWQTXWPNHY

not attested not anchored not stored refs pending

Mixed Eulerian numbers and beyond

Gaku Liu, Julian Weigert, Mateusz Micha{\l}ek

arxiv:2502.04980 v1 · 2025-02-07 · 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{NHAAH3YBF5IXJQHFFWQTXWPNHY}

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.

Cited by

1 paper in Pith

Benchmarks in Leipzig

Receipt and verification

First computed	2026-07-05T10:11:00.793516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c003ef012f5174c0e52da13bd9ed3e12d97384c9f2b45b9e4420381cba9e3c

Aliases

arxiv: 2502.04980 · arxiv_version: 2502.04980v1 · doi: 10.48550/arxiv.2502.04980 · pith_short_12: NHAAH3YBF5IX · pith_short_16: NHAAH3YBF5IXJQHF · pith_short_8: NHAAH3YB

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/NHAAH3YBF5IXJQHFFWQTXWPNHY \
  | 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: 69c003ef012f5174c0e52da13bd9ed3e12d97384c9f2b45b9e4420381cba9e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83c0114d4e61c33f7f34af9eb9988785ca02e911262f21a87c8be02e4c6eadb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-07T14:58:53Z",
    "title_canon_sha256": "5b06c2e3e82d968db704713543496267c2fb4ad9be1d4fd0c2ebfe54ed9c0505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04980",
    "kind": "arxiv",
    "version": 1
  }
}