Pith Number

pith:KVCZB673

pith:2004:KVCZB6736T6ZLCWRXYQT4QGRG5

not attested not anchored not stored refs pending

On twisted microdifferential modules I. Non-existence of twisted wave equations

Andrea D'Agnolo, Pierre Schapira

arxiv:math/0401204 v1 · 2004-01-16 · math.AG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVCZB6736T6ZLCWRXYQT4QGRG5}

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	2026-05-18T02:16:11.585468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

554590fbfbf4fd958ad1be213e40d1377c2da30116e5ccf944d2d4487fcb94dc

Aliases

arxiv: math/0401204 · arxiv_version: math/0401204v1 · doi: 10.48550/arxiv.math/0401204 · pith_short_12: KVCZB6736T6Z · pith_short_16: KVCZB6736T6ZLCWR · pith_short_8: KVCZB673

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/KVCZB6736T6ZLCWRXYQT4QGRG5 \
  | 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: 554590fbfbf4fd958ad1be213e40d1377c2da30116e5ccf944d2d4487fcb94dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937a4e1d1b7220fb5b3e179f3994bfe0482d1b0092b209cf5fe7129ec10589a2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-01-16T15:27:48Z",
    "title_canon_sha256": "03cb78018870b8f3632711460e74b5a57bc85634419067db70b8d777aac76bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401204",
    "kind": "arxiv",
    "version": 1
  }
}