Pith Number

pith:IDA3EGNI

pith:2014:IDA3EGNI4URYUMGVIX3ORJFAIC

not attested not anchored not stored refs pending

The Logic of Approximate Dependence

Jouko V\"a\"an\"anen

arxiv:1408.4437 v1 · 2014-08-19 · math.LO · cs.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{IDA3EGNI4URYUMGVIX3ORJFAIC}

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	2026-05-18T02:44:55.468514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c1b219a8e5238a30d545f6e8a4a04096d372ad85d8c8831e163af15e8d0bda

Aliases

arxiv: 1408.4437 · arxiv_version: 1408.4437v1 · doi: 10.48550/arxiv.1408.4437 · pith_short_12: IDA3EGNI4URY · pith_short_16: IDA3EGNI4URYUMGV · pith_short_8: IDA3EGNI

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/IDA3EGNI4URYUMGVIX3ORJFAIC \
  | 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: 40c1b219a8e5238a30d545f6e8a4a04096d372ad85d8c8831e163af15e8d0bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb758559040cd0b89c5de73f40c49f7c9db0eaed955219b331e1eaa8b839e21",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-19T19:33:42Z",
    "title_canon_sha256": "4f96c9416795dc6666f518037bff05af8fd7e08af9d173111b311ba17f114e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4437",
    "kind": "arxiv",
    "version": 1
  }
}