Pith Number

pith:ZPT4B5GS

pith:2017:ZPT4B5GS22H77OLJAOKBJ2OW5A

not attested not anchored not stored refs pending

On irrationality measure of Thue-Morse constant

Dzmitry Badziahin, Evgeniy Zorin

arxiv:1707.06677 v1 · 2017-07-20 · 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{ZPT4B5GS22H77OLJAOKBJ2OW5A}

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	2026-05-18T00:39:52.003642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe7c0f4d2d68fffb969039414e9d6e81786c447ca5601dc834f23863d7d3ece

Aliases

arxiv: 1707.06677 · arxiv_version: 1707.06677v1 · doi: 10.48550/arxiv.1707.06677 · pith_short_12: ZPT4B5GS22H7 · pith_short_16: ZPT4B5GS22H77OLJ · pith_short_8: ZPT4B5GS

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/ZPT4B5GS22H77OLJAOKBJ2OW5A \
  | 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: cbe7c0f4d2d68fffb969039414e9d6e81786c447ca5601dc834f23863d7d3ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb0ea604a72c031c2de8f13ac2452b0f34969a5b48c0d451ade1c27d09a870f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-20T19:03:19Z",
    "title_canon_sha256": "39190edc6ca0aea33f994fffacc2470451420c22f0c5d611ee8ab0efb8e9502a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06677",
    "kind": "arxiv",
    "version": 1
  }
}