Pith Number

pith:ATZYHB2Q

pith:2012:ATZYHB2QQSZ5Q4CDAWI5K53T4Q

not attested not anchored not stored refs pending

Big de Rham-Witt cohomology: basic results

Andre Chatzistamatiou

arxiv:1211.6006 v4 · 2012-11-26 · math.NT · 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{ATZYHB2QQSZ5Q4CDAWI5K53T4Q}

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	2026-05-18T03:18:51.666471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f383875084b3d870430591d57773e437c30289c744a24e5baa546ff4004e8c

Aliases

arxiv: 1211.6006 · arxiv_version: 1211.6006v4 · doi: 10.48550/arxiv.1211.6006 · pith_short_12: ATZYHB2QQSZ5 · pith_short_16: ATZYHB2QQSZ5Q4CD · pith_short_8: ATZYHB2Q

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/ATZYHB2QQSZ5Q4CDAWI5K53T4Q \
  | 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: 04f383875084b3d870430591d57773e437c30289c744a24e5baa546ff4004e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba07c2479e2ea147ba7e46ed60fd711be9e4f09f55b472e674f106e7b5fb086e",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-26T16:13:38Z",
    "title_canon_sha256": "04252fa31d70a888e9ccbc2d6c8dd821c794817990f83a0fbd5bb3d557bff770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6006",
    "kind": "arxiv",
    "version": 4
  }
}