Pith Number

pith:24TUJ4EL

pith:2017:24TUJ4ELQXGVTAFTGVGG4KZ5FX

not attested not anchored not stored refs pending

Tracing cyclic homology pairings under twisting of graded algebras

Makoto Yamashita, Sayan Chakraborty

arxiv:1709.03337 v1 · 2017-09-11 · math.QA · math.KT · 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{24TUJ4ELQXGVTAFTGVGG4KZ5FX}

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	2026-05-18T00:35:38.681950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82

Aliases

arxiv: 1709.03337 · arxiv_version: 1709.03337v1 · doi: 10.48550/arxiv.1709.03337 · pith_short_12: 24TUJ4ELQXGV · pith_short_16: 24TUJ4ELQXGVTAFT · pith_short_8: 24TUJ4EL

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/24TUJ4ELQXGVTAFTGVGG4KZ5FX \
  | 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: d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1568c7ba9dd3eb59371d2c0f075e188c65f8898308a19882f6073e5141531c9a",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-09-11T11:36:18Z",
    "title_canon_sha256": "743100b771e76b6a38f8b44ac8d56962b0b54957f44fcbe645ae036ba9c07897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03337",
    "kind": "arxiv",
    "version": 1
  }
}