Pith Number

pith:ZMDQV6FF

pith:2015:ZMDQV6FF2JO53DC3L2NEJUN7RV

not attested not anchored not stored refs pending

Sheaves and D-modules on Lorentzian manifolds

Benoit Jubin, Pierre Schapira

arxiv:1510.01499 v2 · 2015-10-06 · math.AG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMDQV6FF2JO53DC3L2NEJUN7RV}

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	2026-05-18T01:15:58.149668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb070af8a5d25ddd8c5b5e9a44d1bf8d6dac34b5c6a6c72e9a851e2285e5dc20

Aliases

arxiv: 1510.01499 · arxiv_version: 1510.01499v2 · doi: 10.48550/arxiv.1510.01499 · pith_short_12: ZMDQV6FF2JO5 · pith_short_16: ZMDQV6FF2JO53DC3 · pith_short_8: ZMDQV6FF

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/ZMDQV6FF2JO53DC3L2NEJUN7RV \
  | 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: cb070af8a5d25ddd8c5b5e9a44d1bf8d6dac34b5c6a6c72e9a851e2285e5dc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb818ab2e4d539017952346c0d6ce461cc2916447adbf6c71f6ce39d389c5aa",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-06T09:32:26Z",
    "title_canon_sha256": "3154334502f499e273c8e73b834a289804ed9beff95283aedf22ab2e37f6cc53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01499",
    "kind": "arxiv",
    "version": 2
  }
}