Pith Number

pith:ERIFI4VS

pith:2011:ERIFI4VSFASJOVKR5AJ4RG4CDE

not attested not anchored not stored refs pending

Algebraic and combinatorial Brill-Noether theory

Lucia Caporaso

arxiv:1106.1140 v2 · 2011-06-06 · 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{ERIFI4VSFASJOVKR5AJ4RG4CDE}

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	2026-05-18T04:12:11.674732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24505472b22824975551e813c89b8219298f25b4986886593c80400349d7df46

Aliases

arxiv: 1106.1140 · arxiv_version: 1106.1140v2 · doi: 10.48550/arxiv.1106.1140 · pith_short_12: ERIFI4VSFASJ · pith_short_16: ERIFI4VSFASJOVKR · pith_short_8: ERIFI4VS

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/ERIFI4VSFASJOVKR5AJ4RG4CDE \
  | 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: 24505472b22824975551e813c89b8219298f25b4986886593c80400349d7df46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba92debfde08b1599f17f452b51ec0c5dfc5ed1e33e76cd62d166f776cd8bcc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-06T18:14:39Z",
    "title_canon_sha256": "c0839e1c8f8a15eff7eae91c05f833122e67ffc6d0b676cbbdfc5516a9d87389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1140",
    "kind": "arxiv",
    "version": 2
  }
}