Pith Number

pith:TULECGQZ

pith:2010:TULECGQZZV5NCXSNTCVYFIPVZ4

not attested not anchored not stored refs pending

On a theorem of Castelnuovo and applications to moduli

Abel Castore\~na, Ciro Ciliberto

arxiv:1008.3248 v1 · 2010-08-19 · 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{TULECGQZZV5NCXSNTCVYFIPVZ4}

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	2026-05-18T02:29:30.275394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d16411a19cd7ad15e4d98ab82a1f5cf15684ffa9641570ae338750fa5efcfc7

Aliases

arxiv: 1008.3248 · arxiv_version: 1008.3248v1 · doi: 10.48550/arxiv.1008.3248 · pith_short_12: TULECGQZZV5N · pith_short_16: TULECGQZZV5NCXSN · pith_short_8: TULECGQZ

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/TULECGQZZV5NCXSNTCVYFIPVZ4 \
  | 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: 9d16411a19cd7ad15e4d98ab82a1f5cf15684ffa9641570ae338750fa5efcfc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fcaf8df10e87cf589b67aef61653e45ee54113c8c48352ab3e00aaa77b58f65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-19T09:14:25Z",
    "title_canon_sha256": "868f0f4c215d1c4d274f814f4bb4c0459ee98cba6e18d8a9c1d7e1d67696a0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3248",
    "kind": "arxiv",
    "version": 1
  }
}