Pith Number

pith:KNPEPUFB

pith:2015:KNPEPUFBMDWGYV224BF464ZDGI

not attested not anchored not stored refs pending

Regular and irregular holonomic D-modules

Masaki Kashiwara, Pierre Schapira

arxiv:1507.00118 v1 · 2015-07-01 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNPEPUFBMDWGYV224BF464ZDGI}

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	2026-05-18T01:37:30.511012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535e47d0a160ec6c575ae04bcf73233200076aee58fd4763df5c245c53bd9d35

Aliases

arxiv: 1507.00118 · arxiv_version: 1507.00118v1 · doi: 10.48550/arxiv.1507.00118 · pith_short_12: KNPEPUFBMDWG · pith_short_16: KNPEPUFBMDWGYV22 · pith_short_8: KNPEPUFB

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/KNPEPUFBMDWGYV224BF464ZDGI \
  | 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: 535e47d0a160ec6c575ae04bcf73233200076aee58fd4763df5c245c53bd9d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a96283ad1e1d17bafd188fd06d408fbdf969d0f4a3bf02abeae644c6bce725",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-01T06:33:54Z",
    "title_canon_sha256": "9a9ef929c2a1bb4f907f78447da29b43efb154184f4d3ff42bf266899681c99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00118",
    "kind": "arxiv",
    "version": 1
  }
}