Pith Number

pith:6A3C3GOU

pith:2025:6A3C3GOUP7JBJHPS46446VXVEJ

not attested not anchored not stored refs pending

$K_2$-regularity and normality

Charles A. Weibel, Christian Haesemeyer

arxiv:2501.01567 v2 · 2025-01-02 · 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{6A3C3GOUP7JBJHPS46446VXVEJ}

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	2026-07-05T10:12:24.773598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0362d99d47fd2149df2e7b9cf56f522793a56548349effe092f3a6b484daca3

Aliases

arxiv: 2501.01567 · arxiv_version: 2501.01567v2 · doi: 10.48550/arxiv.2501.01567 · pith_short_12: 6A3C3GOUP7JB · pith_short_16: 6A3C3GOUP7JBJHPS · pith_short_8: 6A3C3GOU

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/6A3C3GOUP7JBJHPS46446VXVEJ \
  | 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: f0362d99d47fd2149df2e7b9cf56f522793a56548349effe092f3a6b484daca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93d03b28159dcb2b59fa630f442da0bce9835512e30f1355055ee118a6cee1fd",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-02T23:02:32Z",
    "title_canon_sha256": "b4ddde394283febddb4fc97fa78c9b02a0d38c839e0ee6551c969c2a6af4d612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01567",
    "kind": "arxiv",
    "version": 2
  }
}