Pith Number

pith:YECWZBCM

pith:2013:YECWZBCMISOLBEN4CNEFESO2HO

not attested not anchored not stored refs pending

Decidability of the Elementary Theory of a Torsion-Free Hyperbolic Group

Alexei Myasnikov, Olga Kharlampovich

arxiv:1303.0760 v8 · 2013-03-04 · 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{YECWZBCMISOLBEN4CNEFESO2HO}

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	2026-05-18T00:46:22.758159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1056c844c449cb091bc13485249da3b97c22d31f613ba937225506c8060e189

Aliases

arxiv: 1303.0760 · arxiv_version: 1303.0760v8 · doi: 10.48550/arxiv.1303.0760 · pith_short_12: YECWZBCMISOL · pith_short_16: YECWZBCMISOLBEN4 · pith_short_8: YECWZBCM

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/YECWZBCMISOLBEN4CNEFESO2HO \
  | 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: c1056c844c449cb091bc13485249da3b97c22d31f613ba937225506c8060e189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17eaa829f03beceb1c338fab4580f138b430f503a43c94aaeb33d25dbb6ce5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-04T17:32:35Z",
    "title_canon_sha256": "ddbc5956f813e7540fdc3502636ef0f7d076870f408af97eecf482774a82877f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0760",
    "kind": "arxiv",
    "version": 8
  }
}