Pith Number

pith:X3A2AXPB

pith:2013:X3A2AXPB3JZXENTVXTDPZVF2GQ

not attested not anchored not stored refs pending

On the Volume of Isolated Singularities

Yuchen Zhang

arxiv:1301.6121 v2 · 2013-01-25 · 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{X3A2AXPB3JZXENTVXTDPZVF2GQ}

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	2026-05-17T23:53:35.816092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec1a05de1da73723675bcc6fcd4ba341f8b8ad95adda5f0c5fa6e3e58d3bdab

Aliases

arxiv: 1301.6121 · arxiv_version: 1301.6121v2 · doi: 10.48550/arxiv.1301.6121 · pith_short_12: X3A2AXPB3JZX · pith_short_16: X3A2AXPB3JZXENTV · pith_short_8: X3A2AXPB

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/X3A2AXPB3JZXENTVXTDPZVF2GQ \
  | 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: bec1a05de1da73723675bcc6fcd4ba341f8b8ad95adda5f0c5fa6e3e58d3bdab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b1fd25c845aec7958f0dac2ddbf57e76fdd4d9c21e7f982c08e7101ca8320e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-25T18:47:40Z",
    "title_canon_sha256": "1998f6a4774ab8dbb281272803935f999c00812fd7e2cb116f1414604aa2d898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6121",
    "kind": "arxiv",
    "version": 2
  }
}