Pith Number

pith:JYS5AFPD

pith:2010:JYS5AFPD6HE67HTNWX63L5RABW

not attested not anchored not stored refs pending

Combinatorial Models of Creation-Annihilation

Pawel Blasiak, Philippe Flajolet

arxiv:1010.0354 v3 · 2010-10-02 · math.CO · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYS5AFPD6HE67HTNWX63L5RABW}

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	2026-05-18T02:23:47.812173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e25d015e3f1c9ef9e6db5fdb5f6200db9a8e12f1f608fecf12339ce6cfe870a

Aliases

arxiv: 1010.0354 · arxiv_version: 1010.0354v3 · doi: 10.48550/arxiv.1010.0354 · pith_short_12: JYS5AFPD6HE6 · pith_short_16: JYS5AFPD6HE67HTN · pith_short_8: JYS5AFPD

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/JYS5AFPD6HE67HTNWX63L5RABW \
  | 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: 4e25d015e3f1c9ef9e6db5fdb5f6200db9a8e12f1f608fecf12339ce6cfe870a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6b6bc23441170e3b58310b87a6c3b4d5b670e3e72e0fba41db0f9abca42fdc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-02T18:09:29Z",
    "title_canon_sha256": "c9cc53635526de38df74721427701d9b38e44741df31154aa6e0ff571c8a185a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0354",
    "kind": "arxiv",
    "version": 3
  }
}