Pith Number

pith:TFKCRA7R

pith:2015:TFKCRA7RQ645GYNIIGYFJ3VZFF

not attested not anchored not stored refs pending

Modular curvature and Morita equivalence

Henri Moscovici, Matthias Lesch

arxiv:1505.00964 v2 · 2015-05-05 · math.QA · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFKCRA7RQ645GYNIIGYFJ3VZFF}

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	2026-05-18T00:49:04.901086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99542883f187b9d361a841b054eeb929609c4e27eb5f2b43b6a204ffaf1335e2

Aliases

arxiv: 1505.00964 · arxiv_version: 1505.00964v2 · doi: 10.48550/arxiv.1505.00964 · pith_short_12: TFKCRA7RQ645 · pith_short_16: TFKCRA7RQ645GYNI · pith_short_8: TFKCRA7R

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/TFKCRA7RQ645GYNIIGYFJ3VZFF \
  | 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: 99542883f187b9d361a841b054eeb929609c4e27eb5f2b43b6a204ffaf1335e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f704faa2d7a60ae1950ce057b588bf290c532c9c0ee06ce3a6ac7db294d86bc",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-05-05T11:39:10Z",
    "title_canon_sha256": "f2a597cbe5af854b1ebca35bd79671929985075d0d235373f141cafc5b576bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00964",
    "kind": "arxiv",
    "version": 2
  }
}