Pith Number

pith:F3ZWU5S6

pith:2007:F3ZWU5S6TCILFJGRYNQUVXDR5T

not attested not anchored not stored refs pending

Contraction groups in complete Kac-Moody groups

Bertrand Remy (ICJ), Jacqui Ramagge, Udo Baumgartner

arxiv:0706.2713 v1 · 2007-06-19 · 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{F3ZWU5S6TCILFJGRYNQUVXDR5T}

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	2026-05-18T03:44:13.909261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef36a765e9890b2a4d1c3614adc71ece548d08d2a52378371508f1bee57aa7b

Aliases

arxiv: 0706.2713 · arxiv_version: 0706.2713v1 · doi: 10.48550/arxiv.0706.2713 · pith_short_12: F3ZWU5S6TCIL · pith_short_16: F3ZWU5S6TCILFJGR · pith_short_8: F3ZWU5S6

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/F3ZWU5S6TCILFJGRYNQUVXDR5T \
  | 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: 2ef36a765e9890b2a4d1c3614adc71ece548d08d2a52378371508f1bee57aa7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdde0f720ac8591d63f7bda9c95bb32962834c0287074b157431b628b4b773be",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-06-19T04:38:54Z",
    "title_canon_sha256": "a3615601d0c010afc9ea179c47bfd5bbf4e9755f10545d2c363458932ff81554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2713",
    "kind": "arxiv",
    "version": 1
  }
}