Pith Number

pith:PMKPOBOC

pith:2017:PMKPOBOCS7SDB77Y66G4AN7UPX

not attested not anchored not stored refs pending

The word and conjugacy problems in lacunary hyperbolic groups

Arman Darbinyan

arxiv:1708.04591 v3 · 2017-08-15 · math.GR · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMKPOBOCS7SDB77Y66G4AN7UPX}

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	2026-05-18T00:31:50.597614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b14f705c297e430fff8f78dc037f47df879bd67bda9a3848422bd6c8ff302d8

Aliases

arxiv: 1708.04591 · arxiv_version: 1708.04591v3 · doi: 10.48550/arxiv.1708.04591 · pith_short_12: PMKPOBOCS7SD · pith_short_16: PMKPOBOCS7SDB77Y · pith_short_8: PMKPOBOC

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/PMKPOBOCS7SDB77Y66G4AN7UPX \
  | 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: 7b14f705c297e430fff8f78dc037f47df879bd67bda9a3848422bd6c8ff302d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0b4122dcf6a6a8cd72e30f2e8a40ca0a5298d5a3d7dcb45603d2385319e1db",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-15T16:50:55Z",
    "title_canon_sha256": "f7d6b917ecef50cfc67fdb8754ee2ef672713a017d8b347e24f37b9e774fb29f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04591",
    "kind": "arxiv",
    "version": 3
  }
}