Pith Number

pith:IXOVJKQ3

pith:2024:IXOVJKQ3BOA4EJ3O6E423LCUIJ

not attested not anchored not stored refs pending

A criterion for $p$-closedness of derivations in dimension two

Kentaro Mitsui, Nobuo Sato

arxiv:2409.03442 v1 · 2024-09-05 · 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{IXOVJKQ3BOA4EJ3O6E423LCUIJ}

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	2026-07-05T09:03:31.430933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45dd54aa1b0b81c2276ef139adac54424a46a71278eb8818ad8a763573f6e814

Aliases

arxiv: 2409.03442 · arxiv_version: 2409.03442v1 · doi: 10.48550/arxiv.2409.03442 · pith_short_12: IXOVJKQ3BOA4 · pith_short_16: IXOVJKQ3BOA4EJ3O · pith_short_8: IXOVJKQ3

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/IXOVJKQ3BOA4EJ3O6E423LCUIJ \
  | 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: 45dd54aa1b0b81c2276ef139adac54424a46a71278eb8818ad8a763573f6e814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bb20c745e5ed8ad3db3f4062a2479c359c8e3b88a021b38db78d024eb7763f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-05T11:43:23Z",
    "title_canon_sha256": "2f582e231c28438a2ca5f97a9bb7f38ac46fb1e86105238c8cfffd31568debff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03442",
    "kind": "arxiv",
    "version": 1
  }
}