Pith Number

pith:KEQXOJOS

pith:2017:KEQXOJOSW3WCNGOZYL6AV45I74

not attested not anchored not stored refs pending

The Gauss-Manin connection on the periodic cyclic homology

Alexander Petrov, Dmitry Vaintrob, Vadim Vologodsky

arxiv:1711.02802 v1 · 2017-11-08 · math.AG · math.AT · 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{KEQXOJOSW3WCNGOZYL6AV45I74}

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	2026-05-18T00:31:01.716538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51217725d2b6ec2699d9c2fc0af3a8ff20b7086d02356647f828de4df5999b24

Aliases

arxiv: 1711.02802 · arxiv_version: 1711.02802v1 · doi: 10.48550/arxiv.1711.02802 · pith_short_12: KEQXOJOSW3WC · pith_short_16: KEQXOJOSW3WCNGOZ · pith_short_8: KEQXOJOS

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/KEQXOJOSW3WCNGOZYL6AV45I74 \
  | 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: 51217725d2b6ec2699d9c2fc0af3a8ff20b7086d02356647f828de4df5999b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25abc2c28e9a401d7ce72acd044ced95fed89d3236826038321999274e7f328",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-08T02:27:24Z",
    "title_canon_sha256": "3ef769092715a44c01f4c3b244071e6f58b2ec64e48be3e8966b7fe40ab3888c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02802",
    "kind": "arxiv",
    "version": 1
  }
}