Pith Number

pith:3O4MERAN

pith:2010:3O4MERANCLF7Z4QD7QK6D54OZT

not attested not anchored not stored refs pending

Identities and congruences for a new sequence

Zhi-Hong Sun

arxiv:1012.4034 v1 · 2010-12-17 · 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{3O4MERANCLF7Z4QD7QK6D54OZT}

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	2026-05-18T04:32:56.431850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb8c2440d12cbfcf203fc15e1f78eccd611740f249c09cf4044e3844f9ffda0

Aliases

arxiv: 1012.4034 · arxiv_version: 1012.4034v1 · doi: 10.48550/arxiv.1012.4034 · pith_short_12: 3O4MERANCLF7 · pith_short_16: 3O4MERANCLF7Z4QD · pith_short_8: 3O4MERAN

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/3O4MERANCLF7Z4QD7QK6D54OZT \
  | 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: dbb8c2440d12cbfcf203fc15e1f78eccd611740f249c09cf4044e3844f9ffda0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32edb06ffdfabd431cbe9e652864235fc8b6171bf4467099f718d79df9478f89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-17T23:29:49Z",
    "title_canon_sha256": "af553f3f90f93b99e229aa5f0414efef9921fbccbdd075693af526821a0fb44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4034",
    "kind": "arxiv",
    "version": 1
  }
}