Pith Number

pith:RJX3PAGT

pith:2007:RJX3PAGTWYT7U2JBHROC53LCAI

not attested not anchored not stored refs pending

Singularities of Brill-Noether loci for vector bundles on a curve

Montserrat Teixidor i Bigas, Sebastian Casalaina-Martin

arxiv:0710.2480 v2 · 2007-10-12 · 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{RJX3PAGTWYT7U2JBHROC53LCAI}

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	2026-05-18T03:51:48.998251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a6fb780d3b627fa69213c5c2eed620203ef3a0772ee838d8aee73e93c55eaec

Aliases

arxiv: 0710.2480 · arxiv_version: 0710.2480v2 · doi: 10.48550/arxiv.0710.2480 · pith_short_12: RJX3PAGTWYT7 · pith_short_16: RJX3PAGTWYT7U2JB · pith_short_8: RJX3PAGT

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/RJX3PAGTWYT7U2JBHROC53LCAI \
  | 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: 8a6fb780d3b627fa69213c5c2eed620203ef3a0772ee838d8aee73e93c55eaec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d87e4811a00f34b0a353f598177ed390e6b232601ec565ecaaacfc06823f35f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-12T15:14:27Z",
    "title_canon_sha256": "27a37bc1ceee3c5d6faf5dca01bd78df0a65fdc3348a7020e7c2caae687e0600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2480",
    "kind": "arxiv",
    "version": 2
  }
}