Pith Number

pith:VAKSCQA5

pith:2009:VAKSCQA545IJQ3OFI3VLA5ENWW

not attested not anchored not stored refs pending

A variant of Neron models over curves

Christian Schnell, Morihiko Saito

arxiv:0909.4276 v2 · 2009-09-23 · 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{VAKSCQA545IJQ3OFI3VLA5ENWW}

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	2026-05-18T04:42:03.958675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81521401de750986dc546eab0748db59bbcfe574b414213d828b61a5709b8b9

Aliases

arxiv: 0909.4276 · arxiv_version: 0909.4276v2 · doi: 10.48550/arxiv.0909.4276 · pith_short_12: VAKSCQA545IJ · pith_short_16: VAKSCQA545IJQ3OF · pith_short_8: VAKSCQA5

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/VAKSCQA545IJQ3OFI3VLA5ENWW \
  | 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: a81521401de750986dc546eab0748db59bbcfe574b414213d828b61a5709b8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb9b36f57035bcfa2cf2dc7bae20d4ebc60195ea232b6379c3b671131bb965c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-23T18:22:44Z",
    "title_canon_sha256": "562fa4676ac8ecfd849d87d4209bf8d3afa9baeeb12e5c82cb806d62a4e07cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4276",
    "kind": "arxiv",
    "version": 2
  }
}