Pith Number

pith:5RTFYPXP

pith:2026:5RTFYPXP5Q2CM6KAUU4RJ5L2O7

not attested not anchored not stored refs pending

A Variable-Length Gray Code for the Natural Numbers

Ezequiel L\'opez-Rubio

arxiv:2607.16088 v1 · 2026-07-17 · 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{5RTFYPXP5Q2CM6KAUU4RJ5L2O7}

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	2026-07-20T02:19:30.296443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec665c3eefec34267940a53914f57a77f00564e7c0ebb379565bad537b991c7b

Aliases

arxiv: 2607.16088 · arxiv_version: 2607.16088v1 · doi: 10.48550/arxiv.2607.16088 · pith_short_12: 5RTFYPXP5Q2C · pith_short_16: 5RTFYPXP5Q2CM6KA · pith_short_8: 5RTFYPXP

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/5RTFYPXP5Q2CM6KAUU4RJ5L2O7 \
  | 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: ec665c3eefec34267940a53914f57a77f00564e7c0ebb379565bad537b991c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39550fb894f6fc39cb6d721904867db3a8a333aa1b1a16a79c8e73c63553e122",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-17T16:18:40Z",
    "title_canon_sha256": "6da3bd560979ac4b960f8dad8a2a6e34115d875c4f429216b56a55a8d60cc525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16088",
    "kind": "arxiv",
    "version": 1
  }
}