Pith Number

pith:7FR7RFQ2

pith:2012:7FR7RFQ2XAM3Q4I6ED5LRDII2U

not attested not anchored not stored refs pending

Comments on the height reducing property

Shigeki Akiyama, Toufik Zaimi

arxiv:1205.1184 v2 · 2012-05-06 · 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{7FR7RFQ2XAM3Q4I6ED5LRDII2U}

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	2026-05-18T03:38:05.012634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f963f8961ab819b8711e20fab88d08d510f20bb836d3831009906d5c66c750ca

Aliases

arxiv: 1205.1184 · arxiv_version: 1205.1184v2 · doi: 10.48550/arxiv.1205.1184 · pith_short_12: 7FR7RFQ2XAM3 · pith_short_16: 7FR7RFQ2XAM3Q4I6 · pith_short_8: 7FR7RFQ2

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/7FR7RFQ2XAM3Q4I6ED5LRDII2U \
  | 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: f963f8961ab819b8711e20fab88d08d510f20bb836d3831009906d5c66c750ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5efccd17dc51dacbe8b8285b28fd6723573aa403df9946a5e6a1ee854b2fa05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-06T06:03:46Z",
    "title_canon_sha256": "24eaeb65532c465a6efabe03f4d3847c9e9d657b1dac508063b30d40913b7f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1184",
    "kind": "arxiv",
    "version": 2
  }
}