Pith Number

pith:WT4UYC2K

pith:2002:WT4UYC2KUICFO2U3D6D2K5D3LZ

not attested not anchored not stored refs pending

Truncated microsupport and holomorphic solutions of D-modules

Masaki Kashiwara, Pierre Schapira, Teresa Monteiro Fernandes

arxiv:math/0203091 v1 · 2002-03-10 · 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{WT4UYC2KUICFO2U3D6D2K5D3LZ}

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	2026-05-18T01:23:59.517220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f94c0b4aa204576a9b1f87a5747b5e7cf7809864b00ef0005380273525695e

Aliases

arxiv: math/0203091 · arxiv_version: math/0203091v1 · doi: 10.48550/arxiv.math/0203091 · pith_short_12: WT4UYC2KUICF · pith_short_16: WT4UYC2KUICFO2U3 · pith_short_8: WT4UYC2K

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/WT4UYC2KUICFO2U3D6D2K5D3LZ \
  | 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: b4f94c0b4aa204576a9b1f87a5747b5e7cf7809864b00ef0005380273525695e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1cef73bed7bb74fa4ef7b79472325729afcaffd33dcab878a56fddc31378ff",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-03-10T03:24:55Z",
    "title_canon_sha256": "432febe460640d00e7e626394759d63c72314b2a596df4c94ee3e5ad0aac0883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203091",
    "kind": "arxiv",
    "version": 1
  }
}