Pith Number

pith:TWC64N7U

pith:2016:TWC64N7URL6KV6QEWPWOWDIZUQ

not attested not anchored not stored refs pending

On formal inverse of the Prouhet-Thue-Morse sequence

Maciej Gawro, Maciej Ulas

arxiv:1601.04840 v1 · 2016-01-19 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWC64N7URL6KV6QEWPWOWDIZUQ}

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	2026-05-18T01:22:31.737058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d85ee37f48afcaafa04b3eceb0d19a40656b25ebf69d68f1687f31a2f71cbdf

Aliases

arxiv: 1601.04840 · arxiv_version: 1601.04840v1 · doi: 10.48550/arxiv.1601.04840 · pith_short_12: TWC64N7URL6K · pith_short_16: TWC64N7URL6KV6QE · pith_short_8: TWC64N7U

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/TWC64N7URL6KV6QEWPWOWDIZUQ \
  | 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: 9d85ee37f48afcaafa04b3eceb0d19a40656b25ebf69d68f1687f31a2f71cbdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "946bdcb2d1aa7f0a22a282fd8d417e3003c24360cdb8d8605329524cffbdc467",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-19T09:38:38Z",
    "title_canon_sha256": "22d6b58cd1d9157e0cdf8bd1e87300eebe091a35db1a995df165001f585876c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04840",
    "kind": "arxiv",
    "version": 1
  }
}