Pith Number

pith:JRCLBJDD

pith:2026:JRCLBJDDFX7EGQXWN7FTHKBZZO

not attested not anchored not stored refs pending

Adaptive Search in Collatz Exponent-Code Space via 2-adic and 3-adic Constraints

Oliver Kramer

arxiv:2607.10041 v1 · 2026-07-10 · cs.NE · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRCLBJDDFX7EGQXWN7FTHKBZZO}

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	2026-07-14T00:18:48.979786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c44b0a4632dfe4342f66fcb33a839cbb5598073119dae1987702e0ba2802ac0

Aliases

arxiv: 2607.10041 · arxiv_version: 2607.10041v1 · doi: 10.48550/arxiv.2607.10041 · pith_short_12: JRCLBJDDFX7E · pith_short_16: JRCLBJDDFX7EGQXW · pith_short_8: JRCLBJDD

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/JRCLBJDDFX7EGQXWN7FTHKBZZO \
  | 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: 4c44b0a4632dfe4342f66fcb33a839cbb5598073119dae1987702e0ba2802ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b53ba21456dd4f62ec9e570b1b1f25e2b2596d0834d35050bff861953e4df67",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2026-07-10T23:45:46Z",
    "title_canon_sha256": "3a7e27df4ca8bf2ebe849cf0239b8a65f20132ca5ec5f9bd4760484a6a1f9ba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10041",
    "kind": "arxiv",
    "version": 1
  }
}