Pith Number

pith:XQLFD25F

pith:2012:XQLFD25FOBLGVUR3HXHL4LCLEI

not attested not anchored not stored refs pending

Homotopically trivial deformations

J\'anos Koll\'ar, Javier Fernandez de Bobadilla

arxiv:1201.2904 v1 · 2012-01-13 · math.CV · 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{XQLFD25FOBLGVUR3HXHL4LCLEI}

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	2026-05-18T04:04:42.941611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1651eba570566ad23b3dcebe2c4b222622a331f5d9dd7290d2db2cd198e36a

Aliases

arxiv: 1201.2904 · arxiv_version: 1201.2904v1 · doi: 10.48550/arxiv.1201.2904 · pith_short_12: XQLFD25FOBLG · pith_short_16: XQLFD25FOBLGVUR3 · pith_short_8: XQLFD25F

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/XQLFD25FOBLGVUR3HXHL4LCLEI \
  | 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: bc1651eba570566ad23b3dcebe2c4b222622a331f5d9dd7290d2db2cd198e36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee60f395687917b44154b855b23bea1f0053f52816d0f3d283882992b0fa7a8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-13T18:14:53Z",
    "title_canon_sha256": "2a2e674b9200848c6e65ed97f6f94f086ae48923263fc1c016781cc1cdf78a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2904",
    "kind": "arxiv",
    "version": 1
  }
}