Pith Number

pith:VMLXRAZ3

pith:2009:VMLXRAZ3L7PYMJR5F4SU7U4MPF

not attested not anchored not stored refs pending

Log canonical singularities are Du Bois

J\'anos Koll\'ar, S\'andor J Kov\'acs

arxiv:0902.0648 v4 · 2009-02-04 · math.AG

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

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	2026-05-18T02:14:54.333124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1778833b5fdf86263d2f254fd38c797a49a8d4e8f2062872dea9a73159b58e

Aliases

arxiv: 0902.0648 · arxiv_version: 0902.0648v4 · doi: 10.48550/arxiv.0902.0648 · pith_short_12: VMLXRAZ3L7PY · pith_short_16: VMLXRAZ3L7PYMJR5 · pith_short_8: VMLXRAZ3

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/VMLXRAZ3L7PYMJR5F4SU7U4MPF \
  | 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: ab1778833b5fdf86263d2f254fd38c797a49a8d4e8f2062872dea9a73159b58e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1814fe7476ebc6f7b021ffddf4a6e73a11eb2c81939538518f35b55789dbe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-04T00:59:30Z",
    "title_canon_sha256": "8aa5642c2c353e43c9424a0b7f30dab053b86571f33f8a4ce4f7e929c4a93262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0648",
    "kind": "arxiv",
    "version": 4
  }
}