Pith Number

pith:FINGO7VY

pith:2017:FINGO7VYFHSCJD4JZOVPV3T625

not attested not anchored not stored refs pending

Functions on Antipower Prefix Lengths of the Thue-Morse Word

Shyam Narayanan

arxiv:1705.06310 v3 · 2017-05-17 · 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{FINGO7VYFHSCJD4JZOVPV3T625}

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.

Cited by

1 paper in Pith

On the cyclic regularities of strings

Receipt and verification

First computed	2026-07-05T00:07:43.098232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a1a677eb829e4248f89cbaafaee7ed74a9157b03aa8cdb4701510427904b48a

Aliases

arxiv: 1705.06310 · arxiv_version: 1705.06310v3 · doi: 10.48550/arxiv.1705.06310 · pith_short_12: FINGO7VYFHSC · pith_short_16: FINGO7VYFHSCJD4J · pith_short_8: FINGO7VY

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/FINGO7VYFHSCJD4JZOVPV3T625 \
  | 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: 2a1a677eb829e4248f89cbaafaee7ed74a9157b03aa8cdb4701510427904b48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398ca9496b9326fe79f7461748c3b9b1c718a7a157178253aba509ee33595469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-17T18:49:21Z",
    "title_canon_sha256": "175559eefecb5912e490903810762af96ea0ffcae527a4e97d8dc5878c030331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06310",
    "kind": "arxiv",
    "version": 3
  }
}