Pith Number

pith:L5WGJCGM

pith:2011:L5WGJCGMO6PRLV77MEXH2KU7AQ

not attested not anchored not stored refs pending

The separating gonality of a separating real curve

Marc Coppens

arxiv:1109.2337 v1 · 2011-09-11 · 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{L5WGJCGMO6PRLV77MEXH2KU7AQ}

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	2026-05-18T04:13:37.936384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f6c6488cc779f15d7ff612e7d2a9f040f0d8afad845aaa77343e4a14aecbbb9

Aliases

arxiv: 1109.2337 · arxiv_version: 1109.2337v1 · doi: 10.48550/arxiv.1109.2337 · pith_short_12: L5WGJCGMO6PR · pith_short_16: L5WGJCGMO6PRLV77 · pith_short_8: L5WGJCGM

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/L5WGJCGMO6PRLV77MEXH2KU7AQ \
  | 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: 5f6c6488cc779f15d7ff612e7d2a9f040f0d8afad845aaa77343e4a14aecbbb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b608b8e4913f9ecbb6693cc19d85b20fd6ae04754ed6d8c6c9f4e7b015fe0b80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-11T18:45:58Z",
    "title_canon_sha256": "43572b297ca3500c7da037c2b8c3a57e278e1db995db51d8e2f968b3483ede75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2337",
    "kind": "arxiv",
    "version": 1
  }
}