Pith Number

pith:WTYC76PF

pith:2011:WTYC76PFWSR46CLLGUYEYE7EBC

not attested not anchored not stored refs pending

On isolated log canonical singularities with index one

Osamu Fujino

arxiv:1107.0513 v6 · 2011-07-04 · 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{WTYC76PFWSR46CLLGUYEYE7EBC}

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	2026-05-18T04:08:33.440952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f02ff9e5b4a3cf096b35304c13e408b34539378cfc0f5030b24805d816a3eb

Aliases

arxiv: 1107.0513 · arxiv_version: 1107.0513v6 · doi: 10.48550/arxiv.1107.0513 · pith_short_12: WTYC76PFWSR4 · pith_short_16: WTYC76PFWSR46CLL · pith_short_8: WTYC76PF

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/WTYC76PFWSR46CLLGUYEYE7EBC \
  | 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: b4f02ff9e5b4a3cf096b35304c13e408b34539378cfc0f5030b24805d816a3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0583dcfd01ae5abf2d6f5aaeb97513fc918af8d62fbbbf1ff85f2460c72e7aa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-04T02:00:37Z",
    "title_canon_sha256": "08142fb74d368d5aa411957c79f72053feb4a3d22640d6d9eb6e92b349c6ecfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0513",
    "kind": "arxiv",
    "version": 6
  }
}