Pith Number

pith:KCUMM6A4

pith:2009:KCUMM6A4TC7QOLSQ3YEOQ5CSPZ

not attested not anchored not stored refs pending

The Decomposition of Global Conformal Invariants: Some Technical Proofs. I

Spyros Alexakis

arxiv:0912.3757 v2 · 2009-12-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCUMM6A4TC7QOLSQ3YEOQ5CSPZ}

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	2026-05-18T04:27:47.779455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a8c6781c98bf072e50de08e874527e7aaebabd3da8c968e6afb30abfda7696

Aliases

arxiv: 0912.3757 · arxiv_version: 0912.3757v2 · doi: 10.48550/arxiv.0912.3757 · pith_short_12: KCUMM6A4TC7Q · pith_short_16: KCUMM6A4TC7QOLSQ · pith_short_8: KCUMM6A4

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/KCUMM6A4TC7QOLSQ3YEOQ5CSPZ \
  | 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: 50a8c6781c98bf072e50de08e874527e7aaebabd3da8c968e6afb30abfda7696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319bcbd338a2421e876d1a18381edf2b69ea6ce23e66aed37013a247408b92fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-18T18:15:58Z",
    "title_canon_sha256": "42b6e1ee1dc30e409510fddcd3f5e3919f020ccbf58028c622cb7a63ae254615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3757",
    "kind": "arxiv",
    "version": 2
  }
}