Pith Number

pith:J6E6S6DA

pith:2019:J6E6S6DAWM7E4ALHO6L5KYT666

not attested not anchored not stored refs pending

Ordinal pattern probabilities for symmetric random walks

Hugh Denoncourt

arxiv:1907.07172 v3 · 2019-07-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6E6S6DAWM7E4ALHO6L5KYT666}

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	2026-05-17T23:39:29.905531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f89e97860b33e4e01677797d5627ef7ab2b82e9ec1cc42c2719132beb35a6ae

Aliases

arxiv: 1907.07172 · arxiv_version: 1907.07172v3 · doi: 10.48550/arxiv.1907.07172 · pith_short_12: J6E6S6DAWM7E · pith_short_16: J6E6S6DAWM7E4ALH · pith_short_8: J6E6S6DA

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/J6E6S6DAWM7E4ALHO6L5KYT666 \
  | 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: 4f89e97860b33e4e01677797d5627ef7ab2b82e9ec1cc42c2719132beb35a6ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999795e6124b33dc2c881d280ecd5050ff2889b78da14a301f6f039841b549fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-16T17:55:07Z",
    "title_canon_sha256": "61b6e0c8b31c2fb7ed90d0295416432637d6ced2c4ce602fb22ffa4df1dbd950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07172",
    "kind": "arxiv",
    "version": 3
  }
}