Pith Number

pith:7LCZLVOG

pith:2025:7LCZLVOGP7BQECA7YWSJKJQQRB

not attested not anchored not stored refs pending

Chow-Witt Rings of Classifying Spaces of Products of Multiplicative and Cyclic Groups

Andrea Lachmann

arxiv:2508.13605 v1 · 2025-08-19 · 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{7LCZLVOGP7BQECA7YWSJKJQQRB}

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	2026-07-05T11:55:51.001581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac595d5c67fc302081fc5a4952610887cf45106133eddb6abe562fec54d3d1a

Aliases

arxiv: 2508.13605 · arxiv_version: 2508.13605v1 · doi: 10.48550/arxiv.2508.13605 · pith_short_12: 7LCZLVOGP7BQ · pith_short_16: 7LCZLVOGP7BQECA7 · pith_short_8: 7LCZLVOG

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/7LCZLVOGP7BQECA7YWSJKJQQRB \
  | 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: fac595d5c67fc302081fc5a4952610887cf45106133eddb6abe562fec54d3d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e7a7b92a3acab211a4c89a6097bfd039e05ca5aa6c4ac8485bf6ef7c79ec4e",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-19T08:12:02Z",
    "title_canon_sha256": "cbdb36abf01dd5c6b5e33571eeba53fde0fc7c55f3d6452f1124f078fe56de09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13605",
    "kind": "arxiv",
    "version": 1
  }
}