Pith Number

pith:FZTSPQLJ

pith:2019:FZTSPQLJJ32CLSNI3CDVVY7KXA

not attested not anchored not stored refs pending

On the splitting principle for cohomological invariants of reflection groups

Christian Hirsch, Stefan Gille

arxiv:1908.08146 v2 · 2019-08-21 · 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{FZTSPQLJJ32CLSNI3CDVVY7KXA}

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	2026-07-05T00:05:25.119636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6727c1694ef425c9a8d8875ae3eab81749df99ab2b91be7380aa15d5bcc3e2

Aliases

arxiv: 1908.08146 · arxiv_version: 1908.08146v2 · doi: 10.48550/arxiv.1908.08146 · pith_short_12: FZTSPQLJJ32C · pith_short_16: FZTSPQLJJ32CLSNI · pith_short_8: FZTSPQLJ

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/FZTSPQLJJ32CLSNI3CDVVY7KXA \
  | 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: 2e6727c1694ef425c9a8d8875ae3eab81749df99ab2b91be7380aa15d5bcc3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5453c9e0220b0a1d37c622d4a1cfd9c8cc751760b889bf0384931297f192cc9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-21T23:50:47Z",
    "title_canon_sha256": "0cdd8011a6fab7600440fbb79853d72b7432f2493c21ff31268b6c569ad0af97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08146",
    "kind": "arxiv",
    "version": 2
  }
}