Pith Number

pith:35JW4RU2

pith:2019:35JW4RU2G7VXVEANUYBDGU4QDS

not attested not anchored not stored refs pending

Some $n$-space $q$-binomial theorem extensions and similar identities

Geoffrey B Campbell

arxiv:1906.07526 v1 · 2019-06-18 · math.NT · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35JW4RU2G7VXVEANUYBDGU4QDS}

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	2026-05-17T23:43:07.629591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df536e469a37eb7a900da6023353901ca4d28f09ef8086ddc711c294a9e81be1

Aliases

arxiv: 1906.07526 · arxiv_version: 1906.07526v1 · doi: 10.48550/arxiv.1906.07526 · pith_short_12: 35JW4RU2G7VX · pith_short_16: 35JW4RU2G7VXVEAN · pith_short_8: 35JW4RU2

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/35JW4RU2G7VXVEANUYBDGU4QDS \
  | 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: df536e469a37eb7a900da6023353901ca4d28f09ef8086ddc711c294a9e81be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea3fc717a402c6bc54252d31fe570166b11fb3d2407ca7ffa41e5bb8a35cbb0c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-18T12:30:42Z",
    "title_canon_sha256": "a0d90fa7fc7c75b1e93fa31025f7f0eabebda28a338034a7068bc476f6837b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07526",
    "kind": "arxiv",
    "version": 1
  }
}