Pith Number

pith:AE5526B7

pith:2019:AE5526B7LP2ITVY22OX72XQ3AJ

not attested not anchored not stored refs pending

On the periodic topological cyclic homology of DG categories in characteristic p

Alexander Petrov, Vadim Vologodsky

arxiv:1912.03246 v2 · 2019-12-06 · 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{AE5526B7LP2ITVY22OX72XQ3AJ}

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

THH(Z) and the image of J

Receipt and verification

First computed	2026-07-05T06:58:02.908445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

013bdd783f5bf489d71ad3affd5e1b02493431de9d88e97e73f709862693dc8e

Aliases

arxiv: 1912.03246 · arxiv_version: 1912.03246v2 · doi: 10.48550/arxiv.1912.03246 · pith_short_12: AE5526B7LP2I · pith_short_16: AE5526B7LP2ITVY2 · pith_short_8: AE5526B7

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/AE5526B7LP2ITVY22OX72XQ3AJ \
  | 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: 013bdd783f5bf489d71ad3affd5e1b02493431de9d88e97e73f709862693dc8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0024e59167adf9317e6c8f613a9ff6b40df2200e3b112d140a21ccb170fabe9",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-12-06T17:36:19Z",
    "title_canon_sha256": "b37011b4c252156b1aa53ae0a30a31f59f13b36c822ca7c88ad9d8bd58eeacce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03246",
    "kind": "arxiv",
    "version": 2
  }
}