Pith Number

pith:EIDOPLLI

pith:2025:EIDOPLLIPBXORWAI7MOOKMJGAN

not attested not anchored not stored refs pending

The Complexity of the Set of Validities of a Theory

Denis R. Hirschfeldt, Henry Towsner, Scott Weinstein

arxiv:2506.08901 v2 · 2025-06-10 · 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{EIDOPLLIPBXORWAI7MOOKMJGAN}

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	2026-05-26T01:03:13.023402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2206e7ad68786ee8d808fb1ce53126034add9321e7852129370084431770d552

Aliases

arxiv: 2506.08901 · arxiv_version: 2506.08901v2 · doi: 10.48550/arxiv.2506.08901 · pith_short_12: EIDOPLLIPBXO · pith_short_16: EIDOPLLIPBXORWAI · pith_short_8: EIDOPLLI

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/EIDOPLLIPBXORWAI7MOOKMJGAN \
  | 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: 2206e7ad68786ee8d808fb1ce53126034add9321e7852129370084431770d552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021694747b6593e2fbac3e00a3b6d378a1288103634a9c436e5448bbb8c2525f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-06-10T15:26:01Z",
    "title_canon_sha256": "df663174e061da318e15d807b9cfef1ab1ae8dfe5ebb2e149a14ebef3632907c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08901",
    "kind": "arxiv",
    "version": 2
  }
}