Pith Number

pith:56FRVO77

pith:2026:56FRVO77CHYFUNHRMKDDMF6XJ7

not attested not anchored not stored refs pending

Probabilistically checkable proofs for the Existential Theory of the Reals

Jack Stade

arxiv:2605.23517 v1 · 2026-05-22 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56FRVO77CHYFUNHRMKDDMF6XJ7}

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	2026-05-25T02:01:58.859978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8b1abbff11f05a34f162863617d74fdf78ed1b7446209a99274d67eec6f8e5

Aliases

arxiv: 2605.23517 · arxiv_version: 2605.23517v1 · doi: 10.48550/arxiv.2605.23517 · pith_short_12: 56FRVO77CHYF · pith_short_16: 56FRVO77CHYFUNHR · pith_short_8: 56FRVO77

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/56FRVO77CHYFUNHRMKDDMF6XJ7 \
  | 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: ef8b1abbff11f05a34f162863617d74fdf78ed1b7446209a99274d67eec6f8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9e23cc5febcdff837eef84cb06198cbde190b69cced2aca1dad8b48f542f4b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-05-22T11:31:18Z",
    "title_canon_sha256": "4b0494095b629c7a909e52b25cf86167c03806038dd8b1702883bc30bfc85ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23517",
    "kind": "arxiv",
    "version": 1
  }
}