Pith Number

pith:JRBAJ6T3

pith:2014:JRBAJ6T3PZQB4WRDQGJYLF66OD

not attested not anchored not stored refs pending

Characteristic factors for commuting actions of amenable groups

Donald Robertson

arxiv:1402.3843 v1 · 2014-02-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRBAJ6T3PZQB4WRDQGJYLF66OD}

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	2026-05-18T02:58:55.444369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4204fa7b7e601e5a2381938597de70ec02f35c0583c138c8a8764a55a26f44

Aliases

arxiv: 1402.3843 · arxiv_version: 1402.3843v1 · doi: 10.48550/arxiv.1402.3843 · pith_short_12: JRBAJ6T3PZQB · pith_short_16: JRBAJ6T3PZQB4WRD · pith_short_8: JRBAJ6T3

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/JRBAJ6T3PZQB4WRDQGJYLF66OD \
  | 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: 4c4204fa7b7e601e5a2381938597de70ec02f35c0583c138c8a8764a55a26f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c2e2ab4a407ecf7884cd5ecb841cd3ed282bd4564a5ec8d10b572e83053144",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-16T21:40:21Z",
    "title_canon_sha256": "8e91bd338cdb2897048ebb2c14c098ef47227bec4b4d7b2a1546e1efd239a66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3843",
    "kind": "arxiv",
    "version": 1
  }
}