Pith Number

pith:NFPUHMVQ

pith:2026:NFPUHMVQDKEXJQT3YM7E5BLF2Y

not attested not anchored not stored refs pending

Recursive Program Synthesis from Sketches and Mixed-Quantifier Properties

Derek Egolf, Stavros Tripakis

arxiv:2601.04045 v2 · 2026-01-07 · 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{NFPUHMVQDKEXJQT3YM7E5BLF2Y}

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	2026-07-23T01:24:19.857005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695f43b2b01a8974c27bc33e4e8565d63c5d2588a7cb79488e38b71cdb97b6ff

Aliases

arxiv: 2601.04045 · arxiv_version: 2601.04045v2 · doi: 10.48550/arxiv.2601.04045 · pith_short_12: NFPUHMVQDKEX · pith_short_16: NFPUHMVQDKEXJQT3 · pith_short_8: NFPUHMVQ

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/NFPUHMVQDKEXJQT3YM7E5BLF2Y \
  | 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: 695f43b2b01a8974c27bc33e4e8565d63c5d2588a7cb79488e38b71cdb97b6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61646f8f8091dfa878eee8af51dbd866a23eafacfd009ea01c2d873720e75e9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-01-07T16:00:43Z",
    "title_canon_sha256": "228e0af27f31d21033f2007a79afb4e4dca9bb7c33dfeb4ba9530df88cd68e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04045",
    "kind": "arxiv",
    "version": 2
  }
}