Pith Number

pith:HLR2PHTW

pith:2014:HLR2PHTW7K2UWOPAW4C3KG4KLB

not attested not anchored not stored refs pending

Thue-Morse constant is not badly approximable

Dzmitry Badziahin, Evgeniy Zorin

arxiv:1407.3182 v2 · 2014-07-11 · 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{HLR2PHTW7K2UWOPAW4C3KG4KLB}

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	2026-05-18T02:38:36.737711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae3a79e76fab54b39e0b705b51b8a5853f7e1e47e4de81cddf6c0e26de72f8a

Aliases

arxiv: 1407.3182 · arxiv_version: 1407.3182v2 · doi: 10.48550/arxiv.1407.3182 · pith_short_12: HLR2PHTW7K2U · pith_short_16: HLR2PHTW7K2UWOPA · pith_short_8: HLR2PHTW

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/HLR2PHTW7K2UWOPAW4C3KG4KLB \
  | 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: 3ae3a79e76fab54b39e0b705b51b8a5853f7e1e47e4de81cddf6c0e26de72f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6da59b33031d82f7cfd9ab959ed293d4b0dae63090d193faaf555d6e7ff9390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-11T14:57:21Z",
    "title_canon_sha256": "63c7da48428084f3fff5d81ac9004b93dda1336be25b86f0edb7ce31e85fe330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3182",
    "kind": "arxiv",
    "version": 2
  }
}