Pith Number

pith:KTUUL6JF

pith:2017:KTUUL6JFN3OVXS7NDG5KXTV4ZC

not attested not anchored not stored refs pending

Product formulas on posets, Wick products, and a correction for the $q$-Poisson process

Michael Anshelevich

arxiv:1708.08034 v4 · 2017-08-27 · math.OA · 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{KTUUL6JFN3OVXS7NDG5KXTV4ZC}

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	2026-05-18T00:04:05.169965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e945f9256edd5bcbed19baabcebcc899944418364dbff0749de2a688630e9d

Aliases

arxiv: 1708.08034 · arxiv_version: 1708.08034v4 · doi: 10.48550/arxiv.1708.08034 · pith_short_12: KTUUL6JFN3OV · pith_short_16: KTUUL6JFN3OVXS7N · pith_short_8: KTUUL6JF

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/KTUUL6JFN3OVXS7NDG5KXTV4ZC \
  | 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: 54e945f9256edd5bcbed19baabcebcc899944418364dbff0749de2a688630e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59bd5d50afd5a1ce9abdff9617258a0f3f5342258e3382555e856da90e37790",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-08-27T01:51:19Z",
    "title_canon_sha256": "25b1ae293498f18552bd7eeea154c657b0e9d0c52c4cf27587b72ed5f3ae344a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08034",
    "kind": "arxiv",
    "version": 4
  }
}