Pith Number

pith:ORSLQ3H6

pith:2005:ORSLQ3H6CALZME5TR7JTZDT4FZ

not attested not anchored not stored refs pending

Groupes fondamentaux des varietes de dimension 3 et algebres d'operateurs

Jean-Philippe Preaux, Pierre de la Harpe

arxiv:math/0509449 v1 · 2005-09-20 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORSLQ3H6CALZME5TR7JTZDT4FZ}

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	2026-05-18T04:01:51.507796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7464b86cfe10179613b38fd33c8e7c2e769693998d387275dfce9f5cc22d9897

Aliases

arxiv: math/0509449 · arxiv_version: math/0509449v1 · doi: 10.48550/arxiv.math/0509449 · pith_short_12: ORSLQ3H6CALZ · pith_short_16: ORSLQ3H6CALZME5T · pith_short_8: ORSLQ3H6

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/ORSLQ3H6CALZME5TR7JTZDT4FZ \
  | 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: 7464b86cfe10179613b38fd33c8e7c2e769693998d387275dfce9f5cc22d9897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a09928697781d535a47990f14850647a822aee4cf1e475c0757c2de5f59a8b2",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-09-20T12:10:21Z",
    "title_canon_sha256": "e3aaf089c95954f6ff6cb58b9dba9d9190f7488aba12335a2e5c250f709e7c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509449",
    "kind": "arxiv",
    "version": 1
  }
}