Pith Number

pith:AXURRCXN

pith:2017:AXURRCXNOQ5JMAMMSL44GHEI7Y

not attested not anchored not stored refs pending

Uniform Diameter Bounds in Branch Groups

Henry Bradford

arxiv:1703.05852 v1 · 2017-03-17 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXURRCXNOQ5JMAMMSL44GHEI7Y}

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	2026-05-18T00:48:31.966479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e9188aed743a96018c92f9c31c88fe1347617e112ed73cbb00b7b228618e17

Aliases

arxiv: 1703.05852 · arxiv_version: 1703.05852v1 · doi: 10.48550/arxiv.1703.05852 · pith_short_12: AXURRCXNOQ5J · pith_short_16: AXURRCXNOQ5JMAMM · pith_short_8: AXURRCXN

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/AXURRCXNOQ5JMAMMSL44GHEI7Y \
  | 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: 05e9188aed743a96018c92f9c31c88fe1347617e112ed73cbb00b7b228618e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa1fa171dde2be1d92b43193c50d52b024b82631f61e81359e022ab85ccc555",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-17T00:12:31Z",
    "title_canon_sha256": "75b24267bca915fbac5812bfc8e48b713cdb85cc4f1965949f2afe129688bc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05852",
    "kind": "arxiv",
    "version": 1
  }
}