Pith Number

pith:HBRQRE3J

pith:2012:HBRQRE3JF6JFSFVQWNIG6AYNJI

not attested not anchored not stored refs pending

Pluricanonical maps of stable log surfaces

S\"onke Rollenske, Wenfei Liu

arxiv:1211.1291 v4 · 2012-11-06 · 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{HBRQRE3JF6JFSFVQWNIG6AYNJI}

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	2026-05-18T02:54:21.701446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38630893692f925916b0b3506f030d4a1a69ac6fa87aa38a04c609425def13d5

Aliases

arxiv: 1211.1291 · arxiv_version: 1211.1291v4 · doi: 10.48550/arxiv.1211.1291 · pith_short_12: HBRQRE3JF6JF · pith_short_16: HBRQRE3JF6JFSFVQ · pith_short_8: HBRQRE3J

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/HBRQRE3JF6JFSFVQWNIG6AYNJI \
  | 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: 38630893692f925916b0b3506f030d4a1a69ac6fa87aa38a04c609425def13d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5a2913047ad8e4271985bfef441ce8e0bc15b2c8319a5f8522c7712f8b703f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-06T16:18:39Z",
    "title_canon_sha256": "b10a89838bc4a87e90747a9944f6dda46afca09757e725fd936e636669716425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1291",
    "kind": "arxiv",
    "version": 4
  }
}