Pith Number

pith:PCZDXV5Q

pith:2004:PCZDXV5QE3MUJGOB2IN5MQWRAO

not attested not anchored not stored refs pending

Small cancellations over relatively hyperbolic groups and embedding theorems

D.V. Osin

arxiv:math/0411039 v3 · 2004-11-02 · 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{PCZDXV5QE3MUJGOB2IN5MQWRAO}

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	2026-05-18T04:18:33.433679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b23bd7b026d94499c1d21bd642d10383072ebbafa80b1e92e443de5f889c1f

Aliases

arxiv: math/0411039 · arxiv_version: math/0411039v3 · doi: 10.48550/arxiv.math/0411039 · pith_short_12: PCZDXV5QE3MU · pith_short_16: PCZDXV5QE3MUJGOB · pith_short_8: PCZDXV5Q

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/PCZDXV5QE3MUJGOB2IN5MQWRAO \
  | 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: 78b23bd7b026d94499c1d21bd642d10383072ebbafa80b1e92e443de5f889c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a57452ee7587e0a25a9376d824f82297ec17194583abad1a2a2183a82c7c02",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2004-11-02T01:58:05Z",
    "title_canon_sha256": "b37196f395cc53b242ac6171f1af1ca888c5640d6ff2fd596c1dea251afc9b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411039",
    "kind": "arxiv",
    "version": 3
  }
}