Pith Number

pith:CPZW4JJI

pith:2003:CPZW4JJIINTPMMJLC43HKDLPTQ

not attested not anchored not stored refs pending

Stacks of twisted modules and integral transforms

Andrea D'Agnolo, Pietro Polesello

arxiv:math/0307387 v2 · 2003-07-30 · 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{CPZW4JJIINTPMMJLC43HKDLPTQ}

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	2026-05-18T02:16:11.594610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f36e25284366f6312b1736750d6f9c202669df6e54394fa6fd2269b820963f

Aliases

arxiv: math/0307387 · arxiv_version: math/0307387v2 · doi: 10.48550/arxiv.math/0307387 · pith_short_12: CPZW4JJIINTP · pith_short_16: CPZW4JJIINTPMMJL · pith_short_8: CPZW4JJI

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/CPZW4JJIINTPMMJLC43HKDLPTQ \
  | 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: 13f36e25284366f6312b1736750d6f9c202669df6e54394fa6fd2269b820963f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9a94d3e85dba3daac33108187545aacf8fe8becf2fa4aa60f74451622a60378",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-07-30T17:23:16Z",
    "title_canon_sha256": "cac96dcc6ab0d7ca5185607acac5e83e379a5c787061a0cf0054a17f225bba09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307387",
    "kind": "arxiv",
    "version": 2
  }
}