Pith Number

pith:MK6J3AWK

pith:2011:MK6J3AWKWKNPDTWXZGRUILRY6J

not attested not anchored not stored refs pending

Continuants and some decompositions into squares

Charles Delorme, Guillermo Pineda-Villavicencio

arxiv:1112.4535 v3 · 2011-12-20 · 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{MK6J3AWKWKNPDTWXZGRUILRY6J}

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	2026-05-18T02:45:48.882841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62bc9d82cab29af1ced7c9a3442e38f26e28977bd61be737e11291a391ae1b1a

Aliases

arxiv: 1112.4535 · arxiv_version: 1112.4535v3 · doi: 10.48550/arxiv.1112.4535 · pith_short_12: MK6J3AWKWKNP · pith_short_16: MK6J3AWKWKNPDTWX · pith_short_8: MK6J3AWK

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/MK6J3AWKWKNPDTWXZGRUILRY6J \
  | 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: 62bc9d82cab29af1ced7c9a3442e38f26e28977bd61be737e11291a391ae1b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad934d3479f01933cee017d71ba9c267108a24985477fa5e26fcb7395722d46e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-20T00:09:36Z",
    "title_canon_sha256": "19c1408660cbd0c2ad443a3569bf94d4a5f16457a5d33a68754c1629bd931a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4535",
    "kind": "arxiv",
    "version": 3
  }
}