Pith Number

pith:3HC7AABA

pith:2012:3HC7AABAO6NQXRDN3UW5GIT7RJ

not attested not anchored not stored refs pending

On Fujita's log spectrum conjecture

Gabriele Di Cerbo

arxiv:1210.5324 v2 · 2012-10-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HC7AABAO6NQXRDN3UW5GIT7RJ}

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	2026-05-18T03:39:27.999427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c5f00020779b0bc46ddd2dd3227f8a5a5eeec2433f7e529ae5e98635ca95fd

Aliases

arxiv: 1210.5324 · arxiv_version: 1210.5324v2 · doi: 10.48550/arxiv.1210.5324 · pith_short_12: 3HC7AABAO6NQ · pith_short_16: 3HC7AABAO6NQXRDN · pith_short_8: 3HC7AABA

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/3HC7AABAO6NQXRDN3UW5GIT7RJ \
  | 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: d9c5f00020779b0bc46ddd2dd3227f8a5a5eeec2433f7e529ae5e98635ca95fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9de0c97f6bc58d04710ac51a51a8541ae81a489e7ff9637fa4b097519a61b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-19T06:19:00Z",
    "title_canon_sha256": "f455fa34638b41e50dd8d1fa36cb9c1bcb2396e4aad1f4c2370e1474eed5aff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5324",
    "kind": "arxiv",
    "version": 2
  }
}