Pith Number

pith:SGP5JA5Z

pith:2015:SGP5JA5Z6EQQVQWHH76H57GLK3

not attested not anchored not stored refs pending

Discovering and Proving Infinite Binomial Sums Identities

Jakob Ablinger

arxiv:1507.01703 v3 · 2015-07-07 · math.NT · cs.SC · 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{SGP5JA5Z6EQQVQWHH76H57GLK3}

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.

Cited by

1 paper in Pith

The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

Receipt and verification

First computed	2026-05-18T01:28:34.107790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919fd483b9f1210ac2c73ffc7efccb56f34bdff10176d473245170787e335c5c

Aliases

arxiv: 1507.01703 · arxiv_version: 1507.01703v3 · doi: 10.48550/arxiv.1507.01703 · pith_short_12: SGP5JA5Z6EQQ · pith_short_16: SGP5JA5Z6EQQVQWH · pith_short_8: SGP5JA5Z

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/SGP5JA5Z6EQQVQWHH76H57GLK3 \
  | 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: 919fd483b9f1210ac2c73ffc7efccb56f34bdff10176d473245170787e335c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12dbcfdd7755cdec94ca7ca33ab9d2a533900892369eedb872a3e35ecacc191",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-07T08:32:20Z",
    "title_canon_sha256": "c0b8b21f81596f61c8c7c4c4316d0f0b0f4155bb11600233e792fe98076cfcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01703",
    "kind": "arxiv",
    "version": 3
  }
}