Pith Number

pith:O6L7NABC

pith:2011:O6L7NABCH5Y7HWVRO75MEDCI6R

not attested not anchored not stored refs pending

Definable sets in a hyperbolic group

Alexei Myasnikov, Olga Kharlampovich

arxiv:1111.0577 v5 · 2011-11-02 · 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{O6L7NABCH5Y7HWVRO75MEDCI6R}

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	2026-05-18T03:26:32.631692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7797f680223f71f3dab177fac20c48f468db922b42b84a8484fc5c892305b633

Aliases

arxiv: 1111.0577 · arxiv_version: 1111.0577v5 · doi: 10.48550/arxiv.1111.0577 · pith_short_12: O6L7NABCH5Y7 · pith_short_16: O6L7NABCH5Y7HWVR · pith_short_8: O6L7NABC

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/O6L7NABCH5Y7HWVRO75MEDCI6R \
  | 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: 7797f680223f71f3dab177fac20c48f468db922b42b84a8484fc5c892305b633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe60cf164d654e925ca37c611c839163f4577b3cb3102ea43b382bff85e6752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-02T17:36:48Z",
    "title_canon_sha256": "26234d9eab689ce3b09a5d3380e91f50265c6985899088fd398c44a9b2e88e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0577",
    "kind": "arxiv",
    "version": 5
  }
}