Pith Number

pith:CGYTSYJ7

pith:2006:CGYTSYJ7FMJCCU7PHB5BUZDNGO

not attested not anchored not stored refs pending

J-invariant of linear algebraic groups

Kirill Zainoulline, Nikita Semenov, Victor Petrov

arxiv:math/0607476 v4 · 2006-07-19 · 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{CGYTSYJ7FMJCCU7PHB5BUZDNGO}

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	2026-07-04T17:19:13.471962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b139613f2b122153ef387a1a646d33a40c5fd24883d78659beeedead927436

Aliases

arxiv: math/0607476 · arxiv_version: math/0607476v4 · doi: 10.48550/arxiv.math/0607476 · pith_short_12: CGYTSYJ7FMJC · pith_short_16: CGYTSYJ7FMJCCU7P · pith_short_8: CGYTSYJ7

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/CGYTSYJ7FMJCCU7PHB5BUZDNGO \
  | 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: 11b139613f2b122153ef387a1a646d33a40c5fd24883d78659beeedead927436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08085397982cc1ac2e56cd663a24c6e0a719ccb12ce917bb7b6070140930b116",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-07-19T19:47:59Z",
    "title_canon_sha256": "6586e10004173f71ebd8a28fee8fce5257c53f1fdb89143fa4c7c285b6c4d51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607476",
    "kind": "arxiv",
    "version": 4
  }
}