Pith Number

pith:S56S5P2S

pith:2011:S56S5P2S64TVTGSNRIQ6GEQC64

not attested not anchored not stored refs pending

On the F-purity of isolated log canonical singularities

Osamu Fujino, Shunsuke Takagi

arxiv:1112.2383 v2 · 2011-12-11 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S56S5P2S64TVTGSNRIQ6GEQC64}

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	2026-05-18T03:52:12.041744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977d2ebf52f727599a4d8a21e31202f72a3fe7764d8871f1da544ba634a4282d

Aliases

arxiv: 1112.2383 · arxiv_version: 1112.2383v2 · doi: 10.48550/arxiv.1112.2383 · pith_short_12: S56S5P2S64TV · pith_short_16: S56S5P2S64TVTGSN · pith_short_8: S56S5P2S

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/S56S5P2S64TVTGSNRIQ6GEQC64 \
  | 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: 977d2ebf52f727599a4d8a21e31202f72a3fe7764d8871f1da544ba634a4282d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c33f56dd5482f1f06d1547a1deb0b2245644b9d43a047f72f358b3a4969348",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-11T18:38:04Z",
    "title_canon_sha256": "5c466a43176e52974cf9f4ebeebcd1fa77b5487f6d929633775f38e88f9a82de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2383",
    "kind": "arxiv",
    "version": 2
  }
}