Pith Number

pith:VCJVAZ6S

pith:2008:VCJVAZ6SJOFIPNHXRHI7IGPEPX

not attested not anchored not stored refs pending

On almost Blow-analytic equivalence

Goulwen Fichou (IRMAR), Masahiro Shiota

arxiv:0812.2335 v2 · 2008-12-12 · 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{VCJVAZ6SJOFIPNHXRHI7IGPEPX}

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	2026-05-18T02:58:10.890944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8935067d24b8a87b4f789d1f419e47dfe322409a7c0e5ca92990644815f47d7

Aliases

arxiv: 0812.2335 · arxiv_version: 0812.2335v2 · doi: 10.48550/arxiv.0812.2335 · pith_short_12: VCJVAZ6SJOFI · pith_short_16: VCJVAZ6SJOFIPNHX · pith_short_8: VCJVAZ6S

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/VCJVAZ6SJOFIPNHXRHI7IGPEPX \
  | 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: a8935067d24b8a87b4f789d1f419e47dfe322409a7c0e5ca92990644815f47d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2496f9127bbac4505b766dc3784fbbdc3d0a313782b5b75b8118dc6db5b08be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-12-12T10:18:08Z",
    "title_canon_sha256": "e39d3c6227e606e59744b3482b54a18f8088f4a374f0e13556ce26f6dc04ae4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2335",
    "kind": "arxiv",
    "version": 2
  }
}