Pith Number

pith:ICQZ3M2A

pith:2018:ICQZ3M2APQE57INMQEZ5Z4KTME

not attested not anchored not stored refs pending

Conjugator lengths in hierarchically hyperbolic groups

Carolyn Abbott, Jason Behrstock

arxiv:1808.09604 v3 · 2018-08-29 · math.GR · math.GT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICQZ3M2APQE57INMQEZ5Z4KTME}

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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.

Cited by

1 paper in Pith

Hierarchically hyperbolic groups and uniform exponential growth

Receipt and verification

First computed	2026-07-05T07:21:23.256270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a19db3407c09dfa1ac8133dcf15361090a6ed0735a0bf47d47ecfd2d0c6071

Aliases

arxiv: 1808.09604 · arxiv_version: 1808.09604v3 · doi: 10.48550/arxiv.1808.09604 · pith_short_12: ICQZ3M2APQE5 · pith_short_16: ICQZ3M2APQE57INM · pith_short_8: ICQZ3M2A

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/ICQZ3M2APQE57INMQEZ5Z4KTME \
  | 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: 40a19db3407c09dfa1ac8133dcf15361090a6ed0735a0bf47d47ecfd2d0c6071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9713bc568ef379ac203894969bd64e81a0ea744103e6abedf7310a6c8738d6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-29T02:08:15Z",
    "title_canon_sha256": "d5ca4b20979187244f3afd5501bb8efece1cc568e30774d1ee10e188692af06f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09604",
    "kind": "arxiv",
    "version": 3
  }
}