Pith Number

pith:VL3RT2U6

pith:2016:VL3RT2U6TU72LGVNZBHELSAW6S

not attested not anchored not stored refs pending

On Binomial Identities in Arbitrary Bases

Christophe Vignat, Lin Jiu

arxiv:1602.04149 v1 · 2016-02-12 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VL3RT2U6TU72LGVNZBHELSAW6S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:44:46.065511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf719ea9e9d3fa59aadc84e45c816f482de49b3075f0fd6b91afa6b3365ac02

Aliases

arxiv: 1602.04149 · arxiv_version: 1602.04149v1 · doi: 10.48550/arxiv.1602.04149 · pith_short_12: VL3RT2U6TU72 · pith_short_16: VL3RT2U6TU72LGVN · pith_short_8: VL3RT2U6

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/VL3RT2U6TU72LGVNZBHELSAW6S \
  | 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: aaf719ea9e9d3fa59aadc84e45c816f482de49b3075f0fd6b91afa6b3365ac02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c83e0e6347ec6e57f44388e0fd75307782eb56ddcd3be1a24fd16b25ac6802",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-12T18:33:27Z",
    "title_canon_sha256": "c348bb29ee53c497178bbc739082b2ba740345ff77e0369ad2eb9fb0a9319462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04149",
    "kind": "arxiv",
    "version": 1
  }
}