Pith Number

pith:6Q3RVVK7

pith:2013:6Q3RVVK74PQR44YYTQ4AOERMZN

not attested not anchored not stored refs pending

Chow group of 0-cycles with modulus and higher dimensional class field theory

Moritz Kerz, Shuji Saito

arxiv:1304.4400 v4 · 2013-04-16 · math.NT · 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{6Q3RVVK74PQR44YYTQ4AOERMZN}

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	2026-05-18T00:50:23.791885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4371ad55fe3e11e73189c3807122ccb443837327ab176434bc93f358e62719e

Aliases

arxiv: 1304.4400 · arxiv_version: 1304.4400v4 · doi: 10.48550/arxiv.1304.4400 · pith_short_12: 6Q3RVVK74PQR · pith_short_16: 6Q3RVVK74PQR44YY · pith_short_8: 6Q3RVVK7

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/6Q3RVVK74PQR44YYTQ4AOERMZN \
  | 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: f4371ad55fe3e11e73189c3807122ccb443837327ab176434bc93f358e62719e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c4cbc0ccbb2996e6288a22ffa8bf9408e18786f4b4f23d92ce4129570f7df3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-16T11:27:16Z",
    "title_canon_sha256": "ab8d293b064fa376289223a6cdcc14e775d5b6fd7749965b212d94df60007317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4400",
    "kind": "arxiv",
    "version": 4
  }
}