Pith Number

pith:I4AHE5I5

pith:2011:I4AHE5I52GCDHZQ24E5TECQNMU

not attested not anchored not stored refs pending

Hodge-Witt cohomology and Witt-rational singularities

Andre Chatzistamatiou, Kay R\"ulling

arxiv:1104.2145 v1 · 2011-04-12 · 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{I4AHE5I52GCDHZQ24E5TECQNMU}

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	2026-05-18T04:24:35.839019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

470072751dd18433e61ae13b320a0d65071ad27f5bfe859dae9f13ccaae2ff22

Aliases

arxiv: 1104.2145 · arxiv_version: 1104.2145v1 · doi: 10.48550/arxiv.1104.2145 · pith_short_12: I4AHE5I52GCD · pith_short_16: I4AHE5I52GCDHZQ2 · pith_short_8: I4AHE5I5

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/I4AHE5I52GCDHZQ24E5TECQNMU \
  | 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: 470072751dd18433e61ae13b320a0d65071ad27f5bfe859dae9f13ccaae2ff22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae83c8bb0fa8c06c22ca20ad8f40d0ae1899c60e30f94be309ee4c11286baa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-12T09:12:21Z",
    "title_canon_sha256": "d47c7d17913166016809f9b2a52b76e40907a6539bdb6f5b8e970a63ff277dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2145",
    "kind": "arxiv",
    "version": 1
  }
}