Pith Number

pith:TZMKGPI5

pith:2006:TZMKGPI5LACJ5BQOC2HEMSU43I

not attested not anchored not stored refs pending

On deformations of free groups in compact Lie groups

T. Gelander

arxiv:math/0611830 v2 · 2006-11-27 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZMKGPI5LACJ5BQOC2HEMSU43I}

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	2026-05-18T01:21:16.596663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e58a33d1d58049e860e168e464a9cda0b11248de955a7a2535c9143afc3aea9

Aliases

arxiv: math/0611830 · arxiv_version: math/0611830v2 · doi: 10.48550/arxiv.math/0611830 · pith_short_12: TZMKGPI5LACJ · pith_short_16: TZMKGPI5LACJ5BQO · pith_short_8: TZMKGPI5

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/TZMKGPI5LACJ5BQOC2HEMSU43I \
  | 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: 9e58a33d1d58049e860e168e464a9cda0b11248de955a7a2535c9143afc3aea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7c0a325791d0a24b3417efe486662c8ac65884e31b5e641d98532af1ca05b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-11-27T16:09:36Z",
    "title_canon_sha256": "795b698ebe1862d508f7ccc01ac4c81ab05d21609041c08261437ad6a63f09e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611830",
    "kind": "arxiv",
    "version": 2
  }
}