Pith Number

pith:IZB3I734

pith:2015:IZB3I7347INWZ52FYOZHSZF6MW

not attested not anchored not stored refs pending

Singular curves and their compactified Jacobians

Jesse Leo Kass

arxiv:1508.07644 v1 · 2015-08-30 · 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{IZB3I7347INWZ52FYOZHSZF6MW}

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	2026-05-18T01:34:31.781487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4643b47f7cfa1b6cf745c3b27964be6586a50395bc3f683c619936f939d90d24

Aliases

arxiv: 1508.07644 · arxiv_version: 1508.07644v1 · doi: 10.48550/arxiv.1508.07644 · pith_short_12: IZB3I7347INW · pith_short_16: IZB3I7347INWZ52F · pith_short_8: IZB3I734

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/IZB3I7347INWZ52FYOZHSZF6MW \
  | 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: 4643b47f7cfa1b6cf745c3b27964be6586a50395bc3f683c619936f939d90d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073a4a05332ded05cf2a35c0e77f0e27406fd00a63bfb5dcd3439728354ce3e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-30T23:07:41Z",
    "title_canon_sha256": "e46183a21a2aee58e89ecde83351d84d08e4fa841cb02d82cdf6c2ec056706ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07644",
    "kind": "arxiv",
    "version": 1
  }
}