Pith Number

pith:RHP732PF

pith:2013:RHP732PFKIMFVVXJPR765W3NAZ

not attested not anchored not stored refs pending

Closed-form solution of a general three-term recurrence relation

Ivan Gonoskov

arxiv:1311.4774 v1 · 2013-11-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHP732PFKIMFVVXJPR765W3NAZ}

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	2026-05-18T03:06:43.520407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89dffde9e552185ad6e97c7feedb6d0674d9e1d591cd8b638c03004e0ba94bc3

Aliases

arxiv: 1311.4774 · arxiv_version: 1311.4774v1 · doi: 10.48550/arxiv.1311.4774 · pith_short_12: RHP732PFKIMF · pith_short_16: RHP732PFKIMFVVXJ · pith_short_8: RHP732PF

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/RHP732PFKIMFVVXJPR765W3NAZ \
  | 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: 89dffde9e552185ad6e97c7feedb6d0674d9e1d591cd8b638c03004e0ba94bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b303fc205eed3386ae947f8de59007d08e418d505fa980fa99d105d010ba2d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-11T21:52:03Z",
    "title_canon_sha256": "8a0c0e2d02e129062f6169a4f4e53a783edcfa1422222aae80eafae157cc1c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4774",
    "kind": "arxiv",
    "version": 1
  }
}