Pith Number

pith:EOLLILAI

pith:2012:EOLLILAIW653E6PR5GK76TJFCK

not attested not anchored not stored refs pending

On the Koszul cohomology of canonical and Prym-canonical binary curves

Elisabetta Colombo, Paola Frediani

arxiv:1207.3230 v2 · 2012-07-13 · 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{EOLLILAIW653E6PR5GK76TJFCK}

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	2026-05-18T03:32:05.511807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2396b42c08b7bbb279f1e995ff4d2512a48624d4da33557b96a5a4922f112ba1

Aliases

arxiv: 1207.3230 · arxiv_version: 1207.3230v2 · doi: 10.48550/arxiv.1207.3230 · pith_short_12: EOLLILAIW653 · pith_short_16: EOLLILAIW653E6PR · pith_short_8: EOLLILAI

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/EOLLILAIW653E6PR5GK76TJFCK \
  | 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: 2396b42c08b7bbb279f1e995ff4d2512a48624d4da33557b96a5a4922f112ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5448d79309a425fc536cac5e2db53569f81dd46cef9f4e765a7c13c8121d27a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-13T13:10:13Z",
    "title_canon_sha256": "8c7fe712f850cb5facd952889545f2cad896b7ee01840d47424020f2b41d22ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3230",
    "kind": "arxiv",
    "version": 2
  }
}