Pith Number

pith:6DC3IOOD

pith:2013:6DC3IOODYO25B6STAWIUG63HT2

not attested not anchored not stored refs pending

A geometric definition of Gabrielov numbers

Atsushi Takahashi, Wolfgang Ebeling

arxiv:1305.6268 v1 · 2013-05-27 · 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{6DC3IOODYO25B6STAWIUG63HT2}

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	2026-05-18T03:24:51.714690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c5b439c3c3b5d0fa530591437b679eb7e36957dc0abe1a474d3499edcccbc2

Aliases

arxiv: 1305.6268 · arxiv_version: 1305.6268v1 · doi: 10.48550/arxiv.1305.6268 · pith_short_12: 6DC3IOODYO25 · pith_short_16: 6DC3IOODYO25B6ST · pith_short_8: 6DC3IOOD

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/6DC3IOODYO25B6STAWIUG63HT2 \
  | 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: f0c5b439c3c3b5d0fa530591437b679eb7e36957dc0abe1a474d3499edcccbc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f03e10692b34ff641f47e784ef115d15d2817aee0b5eb99ab671090b60a7db6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-27T16:13:11Z",
    "title_canon_sha256": "8f1c922e63674e7640502a9949a27cadb80bc2a818921b98ca017a846f332a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6268",
    "kind": "arxiv",
    "version": 1
  }
}