Pith Number

pith:GIBYQY2G

pith:2022:GIBYQY2GTHJVL7KP3GLPINIW3L

not attested not anchored not stored refs pending

Translation lengths in crossing and contact graphs of (quasi-)median graphs

Anthony Genevois

arxiv:2209.06441 v1 · 2022-09-14 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIBYQY2GTHJVL7KP3GLPINIW3L}

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.

Cited by

1 paper in Pith

Contracting elements and conjugacy growth in Coxeter groups, graph products, and further groups

Receipt and verification

First computed	2026-07-05T04:57:30.921112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320388634699d355fd4fd996f43516dac42bc57365ee47a8cb4f3e71eb498b0f

Aliases

arxiv: 2209.06441 · arxiv_version: 2209.06441v1 · doi: 10.48550/arxiv.2209.06441 · pith_short_12: GIBYQY2GTHJV · pith_short_16: GIBYQY2GTHJVL7KP · pith_short_8: GIBYQY2G

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/GIBYQY2GTHJVL7KP3GLPINIW3L \
  | 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: 320388634699d355fd4fd996f43516dac42bc57365ee47a8cb4f3e71eb498b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202165c05ef45fafa94c0a194347b5e5ce90ccf2337061fea2981330805da9df",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-09-14T06:26:11Z",
    "title_canon_sha256": "92890d39b0ea08d4f71d78dde73161c2c43087d9657e90088e2a073f2187a561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06441",
    "kind": "arxiv",
    "version": 1
  }
}