Pith Number

pith:HMNSXWNZ

pith:2008:HMNSXWNZ77CTT3J6QCOYEWE5Y3

not attested not anchored not stored refs pending

Geometries enumeratives complexe, reelle et tropicale

Erwan Brugall\'e

arxiv:0808.0019 v2 · 2008-07-31 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMNSXWNZ77CTT3J6QCOYEWE5Y3}

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	2026-05-17T23:42:49.372419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1b2bd9b9ffc539ed3e809d82589dc6ca034beae6806ea2ab16804c7bd121a1

Aliases

arxiv: 0808.0019 · arxiv_version: 0808.0019v2 · doi: 10.48550/arxiv.0808.0019 · pith_short_12: HMNSXWNZ77CT · pith_short_16: HMNSXWNZ77CTT3J6 · pith_short_8: HMNSXWNZ

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/HMNSXWNZ77CTT3J6QCOYEWE5Y3 \
  | 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: 3b1b2bd9b9ffc539ed3e809d82589dc6ca034beae6806ea2ab16804c7bd121a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0e83d7fd19fa962c8ad16e077f3d0b743497e036241b0e4fb9983ac57b0725",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-31T20:48:55Z",
    "title_canon_sha256": "fc41f9809b5aa12baf009f9a43f22dcb7e6f1698fb36beb855525f5fb5a60fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0019",
    "kind": "arxiv",
    "version": 2
  }
}