Pith Number

pith:LIVWXWB4

pith:2025:LIVWXWB4EAJGXL4IFETGOMVVYY

not attested not anchored not stored refs pending

A study of a family of self-referential sequences

Benoit Cloitre

arxiv:2506.18103 v2 · 2025-06-22 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIVWXWB4EAJGXL4IFETGOMVVYY}

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	2026-07-05T11:46:44.281646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2b6bd83c20126baf8829266732b5c61bb37d7794f9e7d0ffb7c9a46fb49616

Aliases

arxiv: 2506.18103 · arxiv_version: 2506.18103v2 · doi: 10.48550/arxiv.2506.18103 · pith_short_12: LIVWXWB4EAJG · pith_short_16: LIVWXWB4EAJGXL4I · pith_short_8: LIVWXWB4

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/LIVWXWB4EAJGXL4IFETGOMVVYY \
  | 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: 5a2b6bd83c20126baf8829266732b5c61bb37d7794f9e7d0ffb7c9a46fb49616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f5cf32d197b31364b44fd70f88685f62c1fa7c65cf4e04903d61f37ee57f17",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-22T17:14:52Z",
    "title_canon_sha256": "57fd7524bf82e40234de46c99c3723a87638d2bbda47bb1ed8cc041f0695f359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18103",
    "kind": "arxiv",
    "version": 2
  }
}