Pith Number

pith:TPCZSHGV

pith:2007:TPCZSHGVXZYFJ6FDTW27CM2DY2

not attested not anchored not stored refs pending

Vector bundles with Theta divisors I: Bundles on Castelnuovo curves

Kirti Joshi, V. B. Mehta

arxiv:0712.0202 v1 · 2007-12-03 · 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{TPCZSHGVXZYFJ6FDTW27CM2DY2}

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	2026-05-18T03:21:08.896447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc5991cd5be7054f8a39db5f13343c6901ae0e1e6ddea9108cc09842cad99a2

Aliases

arxiv: 0712.0202 · arxiv_version: 0712.0202v1 · doi: 10.48550/arxiv.0712.0202 · pith_short_12: TPCZSHGVXZYF · pith_short_16: TPCZSHGVXZYFJ6FD · pith_short_8: TPCZSHGV

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/TPCZSHGVXZYFJ6FDTW27CM2DY2 \
  | 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: 9bc5991cd5be7054f8a39db5f13343c6901ae0e1e6ddea9108cc09842cad99a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5ef35116bbf4d660896242c2fdd91905ce37794e27800e71a4ba4cda3297c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-03T18:52:33Z",
    "title_canon_sha256": "2c30fc0843aff4fb1f53b9ad5ae92323d6920e8bf2c3a7aaf8ccec402bfc70f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0202",
    "kind": "arxiv",
    "version": 1
  }
}