Pith Number

pith:THOZGZN3

pith:1996:THOZGZN3UHT666BHNKHYEKWZN2

not attested not anchored not stored refs pending

A sharp slope inequality for general stable fibrations of curves

Atsushi Moriwaki

arxiv:alg-geom/9601003 v1 · 1996-01-05 · alg-geom · 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{THOZGZN3UHT666BHNKHYEKWZN2}

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	2026-05-18T01:37:42.866806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99dd9365bba1e7ef78276a8f822ad96e918221425cd1aab4156eadb5308a5e86

Aliases

arxiv: alg-geom/9601003 · arxiv_version: alg-geom/9601003v1 · doi: 10.48550/arxiv.alg-geom/9601003 · pith_short_12: THOZGZN3UHT6 · pith_short_16: THOZGZN3UHT666BH · pith_short_8: THOZGZN3

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/THOZGZN3UHT666BHNKHYEKWZN2 \
  | 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: 99dd9365bba1e7ef78276a8f822ad96e918221425cd1aab4156eadb5308a5e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7328096068f5404736416259b5403748fa723a53a0fd618899069d7f578830",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-01-05T15:38:29Z",
    "title_canon_sha256": "14952c2b9ada60f817efe68ed4e49cc594478d366f2ec05b0435de2543a78a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9601003",
    "kind": "arxiv",
    "version": 1
  }
}