Pith Number

pith:KIMR3V7S

pith:2018:KIMR3V7SUKUBLB54SVYG4OSBFX

not attested not anchored not stored refs pending

Algorithmic Randomness For Amenable Groups

Adam R. Day

arxiv:1802.03831 v3 · 2018-02-11 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIMR3V7SUKUBLB54SVYG4OSBFX}

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	2026-05-18T00:20:23.875057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52191dd7f2a2a81587bc95706e3a412ddee0fb8cc72d84428f397eacdccfbf53

Aliases

arxiv: 1802.03831 · arxiv_version: 1802.03831v3 · doi: 10.48550/arxiv.1802.03831 · pith_short_12: KIMR3V7SUKUB · pith_short_16: KIMR3V7SUKUBLB54 · pith_short_8: KIMR3V7S

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/KIMR3V7SUKUBLB54SVYG4OSBFX \
  | 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: 52191dd7f2a2a81587bc95706e3a412ddee0fb8cc72d84428f397eacdccfbf53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1277ad8adab8c280ce047e08d5645c1a960aa530cbac2b34afc9b0d139a3ce23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-02-11T22:24:41Z",
    "title_canon_sha256": "de368f950e18e5cca3dfefdd7c0f1eb058231fd82ffe2333eb252c9b879364f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03831",
    "kind": "arxiv",
    "version": 3
  }
}