Pith Number

pith:ECS24OJ2

pith:1996:ECS24OJ27N6CSKHKW5I4TVSTOO

not attested not anchored not stored refs pending

Bounds on cohomology and Castelnuovo-Mumford regularity

Chikashi Miyazaki, Wolfgang Vogel

arxiv:alg-geom/9602021 v1 · 1996-02-28 · 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{ECS24OJ27N6CSKHKW5I4TVSTOO}

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	2026-05-18T01:37:42.808017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a5ae393afb7c2928eab751c9d65373b8e00e00473dc0084fefc81618ef08c9

Aliases

arxiv: alg-geom/9602021 · arxiv_version: alg-geom/9602021v1 · doi: 10.48550/arxiv.alg-geom/9602021 · pith_short_12: ECS24OJ27N6C · pith_short_16: ECS24OJ27N6CSKHK · pith_short_8: ECS24OJ2

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/ECS24OJ27N6CSKHKW5I4TVSTOO \
  | 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: 20a5ae393afb7c2928eab751c9d65373b8e00e00473dc0084fefc81618ef08c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649517074eda5b12355c4fe5a2963987f8f9371361a9abcf9fd8d62ec5153076",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-02-28T01:14:06Z",
    "title_canon_sha256": "c0b701035ed9685ed32a8d81add1063a084198fcd247d271c96237f3a8935b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9602021",
    "kind": "arxiv",
    "version": 1
  }
}