Pith Number

pith:LRFWYPHM

pith:2015:LRFWYPHMMCBMUI2XJOTCUMEODB

not attested not anchored not stored refs pending

Random walks on semaphore codes and delay de Bruijn semigroups

Anne Schilling, John Rhodes, Pedro V. Silva

arxiv:1509.03383 v2 · 2015-09-11 · math.GR · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRFWYPHMMCBMUI2XJOTCUMEODB}

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	2026-05-18T01:11:22.578222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4b6c3cec6082ca23574ba62a308e184600ff99760a505d6e19293b925e4c81

Aliases

arxiv: 1509.03383 · arxiv_version: 1509.03383v2 · doi: 10.48550/arxiv.1509.03383 · pith_short_12: LRFWYPHMMCBM · pith_short_16: LRFWYPHMMCBMUI2X · pith_short_8: LRFWYPHM

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/LRFWYPHMMCBMUI2XJOTCUMEODB \
  | 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: 5c4b6c3cec6082ca23574ba62a308e184600ff99760a505d6e19293b925e4c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4264e8747ced21639a10dc241bfd8edb24b01eb1358ccf941f1c1655bb7c339",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-11T03:44:26Z",
    "title_canon_sha256": "3eb3c2239865144f716617f3eeb3a79e65ff74924c069b3ff73c9648b672a009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03383",
    "kind": "arxiv",
    "version": 2
  }
}