Pith Number

pith:AQK3EO34

pith:2013:AQK3EO34WGP6DDALUAUGOCZT47

not attested not anchored not stored refs pending

Extensions of line bundles and Brill--Noether loci of rank-two vector bundles on a general curve

Ciro Ciliberto, Flaminio Flamini

arxiv:1312.6239 v3 · 2013-12-21 · 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{AQK3EO34WGP6DDALUAUGOCZT47}

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	2026-05-18T01:51:25.342455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0415b23b7cb19fe18c0ba028670b33e7daa3c66063af417ff8887c6c5d55c764

Aliases

arxiv: 1312.6239 · arxiv_version: 1312.6239v3 · doi: 10.48550/arxiv.1312.6239 · pith_short_12: AQK3EO34WGP6 · pith_short_16: AQK3EO34WGP6DDAL · pith_short_8: AQK3EO34

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/AQK3EO34WGP6DDALUAUGOCZT47 \
  | 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: 0415b23b7cb19fe18c0ba028670b33e7daa3c66063af417ff8887c6c5d55c764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d2f234c18538c3c3b24e0ffa2e9383e729b37bedfb85565eb8ac76cdcac026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-21T11:09:59Z",
    "title_canon_sha256": "de34c8cc19b6a881260be520e9edc9473d9e83469b0b564eb70abab72ab91ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6239",
    "kind": "arxiv",
    "version": 3
  }
}