Pith Number

pith:34KNMX5M

pith:2013:34KNMX5M4W2O67GNHQUVEPVAWO

not attested not anchored not stored refs pending

Computing Cox rings

Antonio Laface, Juergen Hausen, Simon Keicher

arxiv:1305.4343 v4 · 2013-05-19 · 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{34KNMX5M4W2O67GNHQUVEPVAWO}

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	2026-05-18T01:33:16.935281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df14d65face5b4ef7ccd3c29523ea0b3ba4b9f8ea558bce0de6e9037334f6be6

Aliases

arxiv: 1305.4343 · arxiv_version: 1305.4343v4 · doi: 10.48550/arxiv.1305.4343 · pith_short_12: 34KNMX5M4W2O · pith_short_16: 34KNMX5M4W2O67GN · pith_short_8: 34KNMX5M

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/34KNMX5M4W2O67GNHQUVEPVAWO \
  | 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: df14d65face5b4ef7ccd3c29523ea0b3ba4b9f8ea558bce0de6e9037334f6be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21bcfc2a22da5b2205dc5b6b42af0ca9f810043dd9102017169d56fd4388ed50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-19T09:47:41Z",
    "title_canon_sha256": "8c2a02083af1968cb34b57ef5495fd491989135fecb733723f2855e1e6d67ce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4343",
    "kind": "arxiv",
    "version": 4
  }
}