Pith Number

pith:HIBAUZHA

pith:2012:HIBAUZHA3DINZ3K6OBFUERVO7P

not attested not anchored not stored refs pending

Uniform Local Amenability

Graham A. Niblo, Jacek Brodzki, Jan Spakula, Nick J. Wright, Rufus Willett

arxiv:1203.6169 v1 · 2012-03-28 · math.MG · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIBAUZHA3DINZ3K6OBFUERVO7P}

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	2026-05-18T03:59:03.963669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a020a64e0d8d0dced5e704b4246aefbd4a7c68abcbc9ea929d80687b036159a

Aliases

arxiv: 1203.6169 · arxiv_version: 1203.6169v1 · doi: 10.48550/arxiv.1203.6169 · pith_short_12: HIBAUZHA3DIN · pith_short_16: HIBAUZHA3DINZ3K6 · pith_short_8: HIBAUZHA

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/HIBAUZHA3DINZ3K6OBFUERVO7P \
  | 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: 3a020a64e0d8d0dced5e704b4246aefbd4a7c68abcbc9ea929d80687b036159a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7529a3e908f05240685baaabdf09a0b2bc6eb095e3d656a5ca8a065f877b20",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-03-28T05:51:53Z",
    "title_canon_sha256": "79d53c03350024c46e77449b84405838ffe55b5ba05e63279a80775081eeab9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6169",
    "kind": "arxiv",
    "version": 1
  }
}