Pith Number

pith:Q7OJBINT

pith:2007:Q7OJBINTZ5JOBLGSSUUBSKOIXF

not attested not anchored not stored refs pending

On real log canonical thresholds

Morihiko Saito

arxiv:0707.2308 v3 · 2007-07-16 · 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{Q7OJBINTZ5JOBLGSSUUBSKOIXF}

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.

Cited by

1 paper in Pith

Divisorial Persistence and Asymptotic Homology of Analytic Pairs

Receipt and verification

First computed	2026-07-04T15:03:13.905624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87dc90a1b3cf52e0acd295281929c8b945823aee84aa7bb4c3bd0b526c3a2aef

Aliases

arxiv: 0707.2308 · arxiv_version: 0707.2308v3 · doi: 10.48550/arxiv.0707.2308 · pith_short_12: Q7OJBINTZ5JO · pith_short_16: Q7OJBINTZ5JOBLGS · pith_short_8: Q7OJBINT

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/Q7OJBINTZ5JOBLGSSUUBSKOIXF \
  | 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: 87dc90a1b3cf52e0acd295281929c8b945823aee84aa7bb4c3bd0b526c3a2aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b9113349f784428ade403545ae47e6dd012971e66326ee41a440b7c4a8bc9e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-16T12:14:06Z",
    "title_canon_sha256": "8daf3fb1a096d6da4994a3cb01c5ba4156dc4cbc95728eb9620de27ea923d3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2308",
    "kind": "arxiv",
    "version": 3
  }
}