Pith Number

pith:L57NJZIB

pith:2010:L57NJZIBTUI3ZZZZKCMXY3MMMH

not attested not anchored not stored refs pending

Infinite presentability of groups and condensation

Luc Guyot, Ralph Strebel, Robert Bieri, Yves de Cornulier

arxiv:1010.0271 v3 · 2010-10-01 · 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{L57NJZIBTUI3ZZZZKCMXY3MMMH}

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	2026-05-17T23:53:36.859911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7ed4e5019d11bce73950997c6d8c61dae8a845c75743e1f6cdbbb75ebb298a

Aliases

arxiv: 1010.0271 · arxiv_version: 1010.0271v3 · doi: 10.48550/arxiv.1010.0271 · pith_short_12: L57NJZIBTUI3 · pith_short_16: L57NJZIBTUI3ZZZZ · pith_short_8: L57NJZIB

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/L57NJZIBTUI3ZZZZKCMXY3MMMH \
  | 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: 5f7ed4e5019d11bce73950997c6d8c61dae8a845c75743e1f6cdbbb75ebb298a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d23e12f1c76987a1d84a9f918cbd98d24218baf9f951b94dce3b83a5bf288781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-01T22:09:17Z",
    "title_canon_sha256": "0dc9df9ce481e02e78ceda9e74f06eefa26dd0fff51a84ef34f1927f7be8ee2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0271",
    "kind": "arxiv",
    "version": 3
  }
}