Pith Number

pith:7FRBQWKG

pith:2013:7FRBQWKGRIUFC5SYMHHQBSSWLP

not attested not anchored not stored refs pending

Relative inner amenability

Paul Jolissaint

arxiv:1308.0942 v5 · 2013-08-05 · 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{7FRBQWKGRIUFC5SYMHHQBSSWLP}

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	2026-05-18T03:05:54.301215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9621859468a2851765861cf00ca565beff54b5387a3c27108f8a1b7bd6c3f63

Aliases

arxiv: 1308.0942 · arxiv_version: 1308.0942v5 · doi: 10.48550/arxiv.1308.0942 · pith_short_12: 7FRBQWKGRIUF · pith_short_16: 7FRBQWKGRIUFC5SY · pith_short_8: 7FRBQWKG

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/7FRBQWKGRIUFC5SYMHHQBSSWLP \
  | 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: f9621859468a2851765861cf00ca565beff54b5387a3c27108f8a1b7bd6c3f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1702081c0dfdac8187ab4855262ccdeb93203db0a353588f615a44dc61d620",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-05T11:24:25Z",
    "title_canon_sha256": "7f3e73f46cb9c3b6d9ef9e15421d5dbceb104bc23e2742c460489cdf0481ebc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0942",
    "kind": "arxiv",
    "version": 5
  }
}