Pith Number

pith:UJV7VZEN

pith:2015:UJV7VZEND2UD33FOZHNVPBUMDW

not attested not anchored not stored refs pending

A Generalization of the Digital Binomial Theorem

Hieu D. Nguyen

arxiv:1501.05998 v1 · 2015-01-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJV7VZEND2UD33FOZHNVPBUMDW}

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	2026-05-18T02:28:47.102119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26bfae48d1ea83decaec9db57868c1db107457ace0547c20190b2f8208232ba

Aliases

arxiv: 1501.05998 · arxiv_version: 1501.05998v1 · doi: 10.48550/arxiv.1501.05998 · pith_short_12: UJV7VZEND2UD · pith_short_16: UJV7VZEND2UD33FO · pith_short_8: UJV7VZEN

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/UJV7VZEND2UD33FOZHNVPBUMDW \
  | 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: a26bfae48d1ea83decaec9db57868c1db107457ace0547c20190b2f8208232ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652206ad5cef33c7841dc1e17210af7ef55318cded64a81ba7869356a32f2a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-24T03:58:35Z",
    "title_canon_sha256": "53460a2f8ec8330094f6c770b8f04471c88f2b4cbb213da4e9129ab8128224fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05998",
    "kind": "arxiv",
    "version": 1
  }
}