Pith Number

pith:WT7JIJX4

pith:2012:WT7JIJX4NK4S5IZQDAURB22VY2

not attested not anchored not stored refs pending

A commutative P^1-spectrum representing motivic cohomology over Dedekind domains

Markus Spitzweck

arxiv:1207.4078 v3 · 2012-07-17 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT7JIJX4NK4S5IZQDAURB22VY2}

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	2026-05-18T03:06:51.956165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4fe9426fc6ab92ea330182910eb55c6bd85a5fc87bd733b7581f831cd869aee

Aliases

arxiv: 1207.4078 · arxiv_version: 1207.4078v3 · doi: 10.48550/arxiv.1207.4078 · pith_short_12: WT7JIJX4NK4S · pith_short_16: WT7JIJX4NK4S5IZQ · pith_short_8: WT7JIJX4

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/WT7JIJX4NK4S5IZQDAURB22VY2 \
  | 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: b4fe9426fc6ab92ea330182910eb55c6bd85a5fc87bd733b7581f831cd869aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8046493c1a82e91ed45da964e3f43769ecebbd6d4c36686b47aa4807b92e80c8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-17T18:19:45Z",
    "title_canon_sha256": "6fbcf72c6838f8061ff0ce91152be30c15eb7fab8ba5bb855255f1639935649d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4078",
    "kind": "arxiv",
    "version": 3
  }
}