Pith Number

pith:ALV526JE

pith:2014:ALV526JEGKIVUIKA47BS6UXGY6

not attested not anchored not stored refs pending

An Empirical Method for Solving (rigorously!) Algebraic Functional Equations Of the Form F(P(x,t), P(x,1),x,t)=0

Doron Zeilberger, Ira M. Gessel

arxiv:1412.8360 v1 · 2014-12-29 · 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{ALV526JEGKIVUIKA47BS6UXGY6}

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	2026-05-18T02:30:23.412393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ebdd792432915a2140e7c32f52e6c7984f0d2e5ea9e0c54f97b7401010ead2

Aliases

arxiv: 1412.8360 · arxiv_version: 1412.8360v1 · doi: 10.48550/arxiv.1412.8360 · pith_short_12: ALV526JEGKIV · pith_short_16: ALV526JEGKIVUIKA · pith_short_8: ALV526JE

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/ALV526JEGKIVUIKA47BS6UXGY6 \
  | 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: 02ebdd792432915a2140e7c32f52e6c7984f0d2e5ea9e0c54f97b7401010ead2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994f745a94a64edb00aeb2128f368217ff73d922becbb091bc1b6d7a5ba9d792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-29T15:01:52Z",
    "title_canon_sha256": "a902eb495b08f5b9b3b338c5204b984f55c71261323b75ef378ac75f83920381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8360",
    "kind": "arxiv",
    "version": 1
  }
}