Pith Number

pith:TAWRQ7HF

pith:2011:TAWRQ7HFZ4UPLHZPEHGHBHNNXN

not attested not anchored not stored refs pending

Brill-Noether locus of rank 1 and degree g-1 on a nodal curve

Eduardo Esteves, Juliana Coelho

arxiv:1109.5926 v1 · 2011-09-27 · 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{TAWRQ7HFZ4UPLHZPEHGHBHNNXN}

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	2026-05-18T04:12:10.994595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

982d187ce5cf28f59f2f21cc709dadbb5afd1bf429f4e58212839c8db0f93c42

Aliases

arxiv: 1109.5926 · arxiv_version: 1109.5926v1 · doi: 10.48550/arxiv.1109.5926 · pith_short_12: TAWRQ7HFZ4UP · pith_short_16: TAWRQ7HFZ4UPLHZP · pith_short_8: TAWRQ7HF

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/TAWRQ7HFZ4UPLHZPEHGHBHNNXN \
  | 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: 982d187ce5cf28f59f2f21cc709dadbb5afd1bf429f4e58212839c8db0f93c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f4b08ff912efc3822212d7be1456a34a32a68f1c7cfd0b600e951ea596f55b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-27T15:02:23Z",
    "title_canon_sha256": "2d2be8185dc42ca2d6f94a2a5bea327fc0f798eef852ff21924291f2e7856a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5926",
    "kind": "arxiv",
    "version": 1
  }
}