Pith Number

pith:JJK5UUDK

pith:2015:JJK5UUDKKY7USQULQQJTBLFFLU

not attested not anchored not stored refs pending

Exceptional collections, and the Neron-Severi lattice for surfaces

Charles Vial

arxiv:1504.01776 v3 · 2015-04-07 · 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{JJK5UUDKKY7USQULQQJTBLFFLU}

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	2026-05-18T01:01:34.723307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a55da506a563f49428b841330aca55d2f75658179de6631f178e9e08eb8f176

Aliases

arxiv: 1504.01776 · arxiv_version: 1504.01776v3 · doi: 10.48550/arxiv.1504.01776 · pith_short_12: JJK5UUDKKY7U · pith_short_16: JJK5UUDKKY7USQUL · pith_short_8: JJK5UUDK

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/JJK5UUDKKY7USQULQQJTBLFFLU \
  | 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: 4a55da506a563f49428b841330aca55d2f75658179de6631f178e9e08eb8f176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf30f49f62d1f497a49922d54218eb230d7a69874859218c68c3c4403a3e38e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-07T23:06:42Z",
    "title_canon_sha256": "0235576bde93d215556c4c20210264c4884d2648cf267deb02cc6075e36ea69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01776",
    "kind": "arxiv",
    "version": 3
  }
}