Pith Number

pith:22ZNDWIT

pith:2025:22ZNDWITYPWAKECB5NJ42PF6SE

not attested not anchored not stored refs pending

Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups

Martin R Bridson

arxiv:2507.17598 v1 · 2025-07-23 · 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{22ZNDWITYPWAKECB5NJ42PF6SE}

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	2026-07-05T11:42:10.405424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b2d1d913c3ec051041eb53cd3cbe91204aef50ef4b566dfa7fc916273164cb

Aliases

arxiv: 2507.17598 · arxiv_version: 2507.17598v1 · doi: 10.48550/arxiv.2507.17598 · pith_short_12: 22ZNDWITYPWA · pith_short_16: 22ZNDWITYPWAKECB · pith_short_8: 22ZNDWIT

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/22ZNDWITYPWAKECB5NJ42PF6SE \
  | 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: d6b2d1d913c3ec051041eb53cd3cbe91204aef50ef4b566dfa7fc916273164cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0e2357511e465fdb60f26c45a91a93ef3a2214abba0de9c5e3117852ae4013",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-07-23T15:29:44Z",
    "title_canon_sha256": "df32413e697647c2c175088804a596ae90ee18bdd4b916bf271d378df08286ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17598",
    "kind": "arxiv",
    "version": 1
  }
}