Pith Number

pith:JOMM3GPY

pith:2014:JOMM3GPY3HIFNYH53EDOGJPGSW

not attested not anchored not stored refs pending

New Uniform Diameter Bounds in Pro-$p$ Groups

Henry Bradford

arxiv:1410.3007 v1 · 2014-10-11 · 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{JOMM3GPY3HIFNYH53EDOGJPGSW}

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	2026-05-18T02:40:17.263699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b98cd99f8d9d056e0fdd906e325e695b2aac68d08ff6f1c1f2f80246e487aa6

Aliases

arxiv: 1410.3007 · arxiv_version: 1410.3007v1 · doi: 10.48550/arxiv.1410.3007 · pith_short_12: JOMM3GPY3HIF · pith_short_16: JOMM3GPY3HIFNYH5 · pith_short_8: JOMM3GPY

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/JOMM3GPY3HIFNYH53EDOGJPGSW \
  | 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: 4b98cd99f8d9d056e0fdd906e325e695b2aac68d08ff6f1c1f2f80246e487aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5c34b80c7b52de8a3a0670165deb152100f8216f084631f0767a8d05399be0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-11T15:31:00Z",
    "title_canon_sha256": "dc85baaf5d9b3eef884992ec4c8fea7187b8da67ba46c70ea8a1ebc8035196d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3007",
    "kind": "arxiv",
    "version": 1
  }
}