Pith Number

pith:BCAPLJKQ

pith:2010:BCAPLJKQQSAK4QQO3E3RK5CJIW

not attested not anchored not stored refs pending

On the codimension-three conjecture

Kari Vilonen, Masaki Kashiwara

arxiv:1007.3558 v2 · 2010-07-21 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCAPLJKQQSAK4QQO3E3RK5CJIW}

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	2026-05-18T01:24:04.755927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0880f5a5508480ae420ed9371574494592a4a67d6b8a3ddb0e23190eeecad6fb

Aliases

arxiv: 1007.3558 · arxiv_version: 1007.3558v2 · doi: 10.48550/arxiv.1007.3558 · pith_short_12: BCAPLJKQQSAK · pith_short_16: BCAPLJKQQSAK4QQO · pith_short_8: BCAPLJKQ

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/BCAPLJKQQSAK4QQO3E3RK5CJIW \
  | 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: 0880f5a5508480ae420ed9371574494592a4a67d6b8a3ddb0e23190eeecad6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1506c544431d1c0acf9163da263a76372623f484e9c5d3c7fd90287b7aec9eb1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-21T04:10:19Z",
    "title_canon_sha256": "da7e4d1ef4cf2afd0846974a4b29066dd935427f8f536d5a1e05073a440c81c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3558",
    "kind": "arxiv",
    "version": 2
  }
}