Pith Number

pith:FZ3YYMRG

pith:2005:FZ3YYMRGTTTXXYWLAPOBPQR26A

not attested not anchored not stored refs pending

Additive Chow groups with higher modulus and the generalized de Rham-Witt complex

Kay R\"ulling

arxiv:math/0503214 v1 · 2005-03-11 · 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{FZ3YYMRGTTTXXYWLAPOBPQR26A}

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	2026-05-18T03:53:44.022293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e778c32269ce77be2cb03dc17c23af03a78fcf1e3acd181d130d050985c43c6

Aliases

arxiv: math/0503214 · arxiv_version: math/0503214v1 · doi: 10.48550/arxiv.math/0503214 · pith_short_12: FZ3YYMRGTTTX · pith_short_16: FZ3YYMRGTTTXXYWL · pith_short_8: FZ3YYMRG

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/FZ3YYMRGTTTXXYWLAPOBPQR26A \
  | 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: 2e778c32269ce77be2cb03dc17c23af03a78fcf1e3acd181d130d050985c43c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3235a2ad5c887f90da8f31161dddbea2b98f7347a676a5c321f3ced2ebe09ca4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-03-11T15:40:22Z",
    "title_canon_sha256": "fd36560cc01c51af1f0f4b1437bb269405fe80b1f17a4b3c9f58c66ed45a7770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503214",
    "kind": "arxiv",
    "version": 1
  }
}