Pith Number

pith:WUAYPZZR

pith:2003:WUAYPZZR35AGUKBIOZR3VAVNHK

not attested not anchored not stored refs pending

Numerical equivalence defined on Chow groups of Noetherian local rings

Kazuhiko Kurano

arxiv:math/0304220 v2 · 2003-04-16 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUAYPZZR35AGUKBIOZR3VAVNHK}

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	2026-05-18T01:38:29.112044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50187e731df406a28287663ba82ad3a9f0eb9b80c738e8b3c1d7ef4fae91885

Aliases

arxiv: math/0304220 · arxiv_version: math/0304220v2 · doi: 10.48550/arxiv.math/0304220 · pith_short_12: WUAYPZZR35AG · pith_short_16: WUAYPZZR35AGUKBI · pith_short_8: WUAYPZZR

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/WUAYPZZR35AGUKBIOZR3VAVNHK \
  | 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: b50187e731df406a28287663ba82ad3a9f0eb9b80c738e8b3c1d7ef4fae91885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e764d8ee028ddb0cf1ce1f28cae86cc0249528c5343c7a85cc09684d3f2bb96",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2003-04-16T08:46:09Z",
    "title_canon_sha256": "c57e67b655a655e71c53fd0b2000ea45fdc71a1a1c1ffa365d7021de59b14837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304220",
    "kind": "arxiv",
    "version": 2
  }
}