Pith Number

pith:26GJ6MBA

pith:2012:26GJ6MBAACDBOWPNF3DBPIAIWI

not attested not anchored not stored refs pending

Categorical resolutions of irrational singularities

Alexander Kuznetsov, Valery A. Lunts

arxiv:1212.6170 v1 · 2012-12-26 · 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{26GJ6MBAACDBOWPNF3DBPIAIWI}

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	2026-05-18T00:06:21.190617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78c9f302000861759ed2ec617a008b224994aeb2fde71359294f4201e4d51fa

Aliases

arxiv: 1212.6170 · arxiv_version: 1212.6170v1 · doi: 10.48550/arxiv.1212.6170 · pith_short_12: 26GJ6MBAACDB · pith_short_16: 26GJ6MBAACDBOWPN · pith_short_8: 26GJ6MBA

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/26GJ6MBAACDBOWPNF3DBPIAIWI \
  | 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: d78c9f302000861759ed2ec617a008b224994aeb2fde71359294f4201e4d51fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a866a525e3f2abac4e4cb0158e8f5d916f9b2959940b1a8653a51cf7c7dd94d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-26T12:54:32Z",
    "title_canon_sha256": "475f0b2a71e614dc08f4d8c153523e6a95a47076f0ac1d2cbad4769db0487788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6170",
    "kind": "arxiv",
    "version": 1
  }
}