Pith Number

pith:LYQ52OLD

pith:2007:LYQ52OLD6ZL3SD2A76V5YK3MYV

not attested not anchored not stored refs pending

Cartier isomorphism and Hodge Theory in the non-commutative case

D. Kaledin

arxiv:0708.1574 v2 · 2007-08-11 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYQ52OLD6ZL3SD2A76V5YK3MYV}

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.

Cited by

1 paper in Pith

Noncommutative Cartier Formulae

Receipt and verification

First computed	2026-07-04T15:07:11.890228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e21dd3963f657b90f40ffabdc2b6cc54ec9705cb8dc8c6d2a7acf6396121fa2

Aliases

arxiv: 0708.1574 · arxiv_version: 0708.1574v2 · doi: 10.48550/arxiv.0708.1574 · pith_short_12: LYQ52OLD6ZL3 · pith_short_16: LYQ52OLD6ZL3SD2A · pith_short_8: LYQ52OLD

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/LYQ52OLD6ZL3SD2A76V5YK3MYV \
  | 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: 5e21dd3963f657b90f40ffabdc2b6cc54ec9705cb8dc8c6d2a7acf6396121fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154750cf8d93cce064a3bf1a496a3ba87d2adc98025bb0f1ed70288050a277ae",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-08-11T15:44:04Z",
    "title_canon_sha256": "57e629136ff27a6f76785ec64b45e9c56db6e5d53958f09c679982e12c871c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1574",
    "kind": "arxiv",
    "version": 2
  }
}