Pith Number

pith:LWZHEZ4R

pith:2009:LWZHEZ4RV4CPGR4I57WFXUD4OI

not attested not anchored not stored refs pending

Neron models of Green-Griffiths-Kerr and log Neron models

Tatsuki Hayama

arxiv:0912.4334 v3 · 2009-12-22 · 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{LWZHEZ4RV4CPGR4I57WFXUD4OI}

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	2026-05-18T04:11:07.439051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db2726791af04f34788efec5bd07c723484688dffbae6ec62bfe2f7cb517ebd

Aliases

arxiv: 0912.4334 · arxiv_version: 0912.4334v3 · doi: 10.48550/arxiv.0912.4334 · pith_short_12: LWZHEZ4RV4CP · pith_short_16: LWZHEZ4RV4CPGR4I · pith_short_8: LWZHEZ4R

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/LWZHEZ4RV4CPGR4I57WFXUD4OI \
  | 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: 5db2726791af04f34788efec5bd07c723484688dffbae6ec62bfe2f7cb517ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ec4e00cf1c5221d193cec6130a33c3899ffd6d0db2c004fd96296a336ab3b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-22T07:43:54Z",
    "title_canon_sha256": "49d409b436c5c948aa213138400f2e32cc081e3f04905a3982b5fc4f9295f545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4334",
    "kind": "arxiv",
    "version": 3
  }
}