Pith Number

pith:YKHN7TCF

pith:2012:YKHN7TCFLZYZPCMUHQEYNECZJE

not attested not anchored not stored refs pending

Characteristic classes of foliations via SAYD-twisted cocycles

Bahram Rangipour, Serkan Sutlu

arxiv:1210.5969 v1 · 2012-10-22 · math.KT · math.DG · 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{YKHN7TCFLZYZPCMUHQEYNECZJE}

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	2026-05-18T03:42:34.580862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28edfcc455e719789943c09869059490f8a6bcc21caacb9d26053ea34f0f7b1

Aliases

arxiv: 1210.5969 · arxiv_version: 1210.5969v1 · doi: 10.48550/arxiv.1210.5969 · pith_short_12: YKHN7TCFLZYZ · pith_short_16: YKHN7TCFLZYZPCMU · pith_short_8: YKHN7TCF

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/YKHN7TCFLZYZPCMUHQEYNECZJE \
  | 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: c28edfcc455e719789943c09869059490f8a6bcc21caacb9d26053ea34f0f7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecbc1cfd7628df8e060d286a9a608ec2cc7107542f341c1ecaf0b2755791885",
    "cross_cats_sorted": [
      "math.DG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-10-22T16:51:05Z",
    "title_canon_sha256": "0832add10b58efd6442469747f037e2556465f094463474976949cb251960781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5969",
    "kind": "arxiv",
    "version": 1
  }
}