Pith Number

pith:D2CQWBVC

pith:2018:D2CQWBVCPONFV2SCARLRRIZ2BB

not attested not anchored not stored refs pending

Cohomological invariants mod 2 of Weyl groups

Jean-Pierre Serre

arxiv:1805.07172 v1 · 2018-05-18 · 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{D2CQWBVCPONFV2SCARLRRIZ2BB}

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	2026-05-18T00:15:39.022307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e850b06a27b9a5aea42045718a33a08511141ef4cc55ae2052112b5db3e36d0

Aliases

arxiv: 1805.07172 · arxiv_version: 1805.07172v1 · doi: 10.48550/arxiv.1805.07172 · pith_short_12: D2CQWBVCPONF · pith_short_16: D2CQWBVCPONFV2SC · pith_short_8: D2CQWBVC

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/D2CQWBVCPONFV2SCARLRRIZ2BB \
  | 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: 1e850b06a27b9a5aea42045718a33a08511141ef4cc55ae2052112b5db3e36d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282f02e0c14dd71f0c96e89f084c6f6c3983b6564f1556c7717ab7c43947965f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-18T12:33:43Z",
    "title_canon_sha256": "681b41f064cf8674680666e6c80e1ac16703fd177a9d9bdaf1c457cb4bf2d493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07172",
    "kind": "arxiv",
    "version": 1
  }
}