Pith Number

pith:76LA3O4D

pith:2010:76LA3O4D5SP7DCFYRQCFRMM25A

not attested not anchored not stored refs pending

A proof of the S-genus identities for ternary quadratic forms

Alexander Berkovich, Jonathan Hanke, William Jagy

arxiv:1010.1926 v2 · 2010-10-10 · 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{76LA3O4D5SP7DCFYRQCFRMM25A}

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	2026-05-18T04:24:35.140929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff960dbb83ec9ff188b88c0458b19ae8227154f7a7e23998d7c98186321c7219

Aliases

arxiv: 1010.1926 · arxiv_version: 1010.1926v2 · doi: 10.48550/arxiv.1010.1926 · pith_short_12: 76LA3O4D5SP7 · pith_short_16: 76LA3O4D5SP7DCFY · pith_short_8: 76LA3O4D

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/76LA3O4D5SP7DCFYRQCFRMM25A \
  | 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: ff960dbb83ec9ff188b88c0458b19ae8227154f7a7e23998d7c98186321c7219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5505b67957c3a9833a1745d2380dca7a5dace43875af3499622982707f3c1cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-10T14:58:43Z",
    "title_canon_sha256": "38eac8b2f2de494ebc3aaede1ca3960d16d490790ce67ec68f989f3cc64c8df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1926",
    "kind": "arxiv",
    "version": 2
  }
}