Pith Number

pith:LK4QT7QY

pith:2006:LK4QT7QY6RGEVQ3JZBWAKW6E5B

not attested not anchored not stored refs pending

Cohomology of the space of commuting n-tuples in a compact Lie group

Thomas Baird

arxiv:math/0610761 v3 · 2006-10-25 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LK4QT7QY6RGEVQ3JZBWAKW6E5B}

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	2026-05-18T02:41:26.715635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab909fe18f44c4ac369c86c055bc4e84c31b86eb319f29cc5e0e5fe6efdf92b

Aliases

arxiv: math/0610761 · arxiv_version: math/0610761v3 · doi: 10.48550/arxiv.math/0610761 · pith_short_12: LK4QT7QY6RGE · pith_short_16: LK4QT7QY6RGEVQ3J · pith_short_8: LK4QT7QY

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/LK4QT7QY6RGEVQ3JZBWAKW6E5B \
  | 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: 5ab909fe18f44c4ac369c86c055bc4e84c31b86eb319f29cc5e0e5fe6efdf92b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7797530d8877095942939e790ec5faa97ec03b6d54ac4ba5151a61a01462f290",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-10-25T17:57:26Z",
    "title_canon_sha256": "def7bcd9f1fcf282790c6918c4be75a36d7fa92605b564931401d20620995454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610761",
    "kind": "arxiv",
    "version": 3
  }
}