Pith Number

pith:ODAHPWW4

pith:2020:ODAHPWW4ZPWONWEMP3OQNMGXBZ

not attested not anchored not stored refs pending

Trace theories, Bokstedt periodicity and Bott periodicity

D. Kaledin

arxiv:2004.04279 v2 · 2020-04-08 · math.KT · math.AG · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODAHPWW4ZPWONWEMP3OQNMGXBZ}

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	2026-07-05T02:54:38.656565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c077dadccbece6d88c7edd06b0d70e77f3bbaa2c72e652c26bb0697906085f

Aliases

arxiv: 2004.04279 · arxiv_version: 2004.04279v2 · doi: 10.48550/arxiv.2004.04279 · pith_short_12: ODAHPWW4ZPWO · pith_short_16: ODAHPWW4ZPWONWEM · pith_short_8: ODAHPWW4

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/ODAHPWW4ZPWONWEMP3OQNMGXBZ \
  | 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: 70c077dadccbece6d88c7edd06b0d70e77f3bbaa2c72e652c26bb0697906085f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a6660be0359e083ec721adead6c977d4aab5883fc3e2079546e760ad88cc457",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2020-04-08T22:05:13Z",
    "title_canon_sha256": "745a1a3c9e247bed478fd052b4b030b69b9a3ea25412d92c744204b649a7e03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.04279",
    "kind": "arxiv",
    "version": 2
  }
}