Pith Number

pith:ZEKYTNGM

pith:2016:ZEKYTNGMID3QLNVP3KGPXFEOUR

not attested not anchored not stored refs pending

Factorization of C-finite Sequences

Doron Zeilberger, Manuel Kauers

arxiv:1601.02756 v1 · 2016-01-12 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEKYTNGMID3QLNVP3KGPXFEOUR}

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	2026-05-18T01:22:59.705078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91589b4cc40f705b6afda8cfb948ea4605dac601fdb574b9254a2410c280dd3

Aliases

arxiv: 1601.02756 · arxiv_version: 1601.02756v1 · doi: 10.48550/arxiv.1601.02756 · pith_short_12: ZEKYTNGMID3Q · pith_short_16: ZEKYTNGMID3QLNVP · pith_short_8: ZEKYTNGM

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/ZEKYTNGMID3QLNVP3KGPXFEOUR \
  | 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: c91589b4cc40f705b6afda8cfb948ea4605dac601fdb574b9254a2410c280dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebb6192bc050776b2c3961c5d62c65b7a14dc8655cda2b01c34941083edf8c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2016-01-12T07:45:00Z",
    "title_canon_sha256": "fdeba1bbbbe72c78dd0e3f192c41a153ebe3d5cf569429ddf3440d0e6c8a784e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02756",
    "kind": "arxiv",
    "version": 1
  }
}