Pith Number

pith:N624BBZQ

pith:2011:N624BBZQ76RZR25NR4OZK3IZMH

not attested not anchored not stored refs pending

Morita classes of microdifferential algebroids

Andrea D'Agnolo, Pietro Polesello

arxiv:1112.5005 v4 · 2011-12-21 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N624BBZQ76RZR25NR4OZK3IZMH}

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	2026-05-18T02:03:45.557407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb5c08730ffa398ebad8f1d956d1961c4f07924040f04c3a6a44291e13587bb

Aliases

arxiv: 1112.5005 · arxiv_version: 1112.5005v4 · doi: 10.48550/arxiv.1112.5005 · pith_short_12: N624BBZQ76RZ · pith_short_16: N624BBZQ76RZR25N · pith_short_8: N624BBZQ

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/N624BBZQ76RZR25NR4OZK3IZMH \
  | 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: 6fb5c08730ffa398ebad8f1d956d1961c4f07924040f04c3a6a44291e13587bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d4e0ec7864996c2ff4dd4c7cddabc6198fe31b296efc0914ef168200fe8f938",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-21T12:24:15Z",
    "title_canon_sha256": "00f3c8daadecf8bfb2d385a4e21f8fd5bba3ed2da9e0d7b2189ad01c1427cd98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5005",
    "kind": "arxiv",
    "version": 4
  }
}