Pith Number

pith:ACE44DT7

pith:2013:ACE44DT7Q55OQT2AEEK2QFF553

not attested not anchored not stored refs pending

On motivic vanishing cycles of critical loci

Dominic Joyce, Sven Meinhardt, Vittoria Bussi

arxiv:1305.6428 v3 · 2013-05-28 · 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{ACE44DT7Q55OQT2AEEK2QFF553}

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	2026-05-18T00:00:02.877946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0089ce0e7f877ae84f402115a814bdeeea6c0c2e297e5950cc729296612612ee

Aliases

arxiv: 1305.6428 · arxiv_version: 1305.6428v3 · doi: 10.48550/arxiv.1305.6428 · pith_short_12: ACE44DT7Q55O · pith_short_16: ACE44DT7Q55OQT2A · pith_short_8: ACE44DT7

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/ACE44DT7Q55OQT2AEEK2QFF553 \
  | 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: 0089ce0e7f877ae84f402115a814bdeeea6c0c2e297e5950cc729296612612ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529c56274a4a04c8cdecddb48ac051aa79ef08425a27b6431c5f3fa4d598f828",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-28T09:37:50Z",
    "title_canon_sha256": "24c560a2835e193df13dda2e34da5b59a5b70066f8def96a0cc7909668ebc0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6428",
    "kind": "arxiv",
    "version": 3
  }
}