Pith Number

pith:BIHIQXQH

pith:2013:BIHIQXQHM36ASGDSF76TXVGQLY

not attested not anchored not stored refs pending

Zariski decompositions of numerical cycle classes

Brian Lehmann, Mihai Fulger

arxiv:1310.0538 v3 · 2013-10-02 · 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{BIHIQXQHM36ASGDSF76TXVGQLY}

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	2026-05-18T01:22:58.097761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0e885e0766fc0918722ffd3bd4d05e37e8d938a6f56a2410d47d1a56980b07

Aliases

arxiv: 1310.0538 · arxiv_version: 1310.0538v3 · doi: 10.48550/arxiv.1310.0538 · pith_short_12: BIHIQXQHM36A · pith_short_16: BIHIQXQHM36ASGDS · pith_short_8: BIHIQXQH

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/BIHIQXQHM36ASGDSF76TXVGQLY \
  | 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: 0a0e885e0766fc0918722ffd3bd4d05e37e8d938a6f56a2410d47d1a56980b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a353b2a05b7c11dda7fe396ffa7310e7d54ac976ecc3d4c1d6c4f73c9ac82a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-02T01:03:17Z",
    "title_canon_sha256": "06416fa1f299d1d82f286e923e5176ec604af67f9d3f350b1f597c9c3c10195d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0538",
    "kind": "arxiv",
    "version": 3
  }
}