Pith Number

pith:IXRLFET3

pith:2012:IXRLFET3Q63JLLDEX2HQ6GCBBC

not attested not anchored not stored refs pending

A refinement of Izumi's Theorem

Charles Favre, Mattias Jonsson, S\'ebastien Boucksom

arxiv:1209.4104 v1 · 2012-09-18 · math.AC · 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{IXRLFET3Q63JLLDEX2HQ6GCBBC}

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	2026-05-18T03:45:21.588658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e2b2927b87b695ac64be8f0f184108830daa3cfe073c739020ede03f2987cf

Aliases

arxiv: 1209.4104 · arxiv_version: 1209.4104v1 · doi: 10.48550/arxiv.1209.4104 · pith_short_12: IXRLFET3Q63J · pith_short_16: IXRLFET3Q63JLLDE · pith_short_8: IXRLFET3

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/IXRLFET3Q63JLLDEX2HQ6GCBBC \
  | 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: 45e2b2927b87b695ac64be8f0f184108830daa3cfe073c739020ede03f2987cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6d97fde5775568465e466c2021e020f543996409666c3753628766ba4a94a1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-18T21:07:45Z",
    "title_canon_sha256": "e37f4942f6c43ce89512fe8bfdba84372878f62980327711723046fa8b595590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4104",
    "kind": "arxiv",
    "version": 1
  }
}