Pith Number

pith:4YRRDHAO

pith:2012:4YRRDHAO7DEHUZQMSPGX7XGMZW

not attested not anchored not stored refs pending

Independence, Relative Randomness, and PA Degrees

Adam R. Day, Jan Reimann

arxiv:1207.2533 v1 · 2012-07-11 · 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{4YRRDHAO7DEHUZQMSPGX7XGMZW}

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	2026-05-18T01:21:05.738472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e623119c0ef8c87a660c93cd7fdccccda7fac987dcdf977b4618c7393d60a987

Aliases

arxiv: 1207.2533 · arxiv_version: 1207.2533v1 · doi: 10.48550/arxiv.1207.2533 · pith_short_12: 4YRRDHAO7DEH · pith_short_16: 4YRRDHAO7DEHUZQM · pith_short_8: 4YRRDHAO

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/4YRRDHAO7DEHUZQMSPGX7XGMZW \
  | 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: e623119c0ef8c87a660c93cd7fdccccda7fac987dcdf977b4618c7393d60a987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b05ad95049d5f3512e1e19b930cdf038be9d602ba87369f2cb490c3fb33809",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-07-11T02:54:21Z",
    "title_canon_sha256": "0a60e2fe8ac44f4c145ed2562457367fbcdca7d36f82130d976e38d687a170f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2533",
    "kind": "arxiv",
    "version": 1
  }
}