Pith Number

pith:A5LB2HNH

pith:2005:A5LB2HNHHVJJ7GIFTXA2GJMZTS

not attested not anchored not stored refs pending

Non-vanishing for Koszul cohomology of curves

J. Nagel, M. Aprodu

arxiv:math/0506057 v2 · 2005-06-03 · 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{A5LB2HNHHVJJ7GIFTXA2GJMZTS}

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	2026-05-18T03:06:52.372844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07561d1da73d529f99059dc1a325999cb5caa5dcb9f6c502d746b3b272fba8c7

Aliases

arxiv: math/0506057 · arxiv_version: math/0506057v2 · doi: 10.48550/arxiv.math/0506057 · pith_short_12: A5LB2HNHHVJJ · pith_short_16: A5LB2HNHHVJJ7GIF · pith_short_8: A5LB2HNH

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/A5LB2HNHHVJJ7GIFTXA2GJMZTS \
  | 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: 07561d1da73d529f99059dc1a325999cb5caa5dcb9f6c502d746b3b272fba8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f30822fbe82320f3fb477319a4f31a50801cd5b322e9366f8ed9e9d9f6d43d16",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-06-03T06:45:08Z",
    "title_canon_sha256": "08005a5e9d38dd7d1b13d813f34a132e329fb5ad0c647726f92e01846f2cc212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506057",
    "kind": "arxiv",
    "version": 2
  }
}