Pith Number

pith:GV7CBJXQ

pith:2017:GV7CBJXQF6P3BGZNU7KFILZMM6

not attested not anchored not stored refs pending

Substitution invariant Sturmian words and binary trees

Michel Dekking

arxiv:1705.08607 v1 · 2017-05-24 · 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{GV7CBJXQF6P3BGZNU7KFILZMM6}

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	2026-05-18T00:43:44.784648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

357e20a6f02f9fb09b2da7d4542f2c67b615694c6431b6e58274ffedf231f163

Aliases

arxiv: 1705.08607 · arxiv_version: 1705.08607v1 · doi: 10.48550/arxiv.1705.08607 · pith_short_12: GV7CBJXQF6P3 · pith_short_16: GV7CBJXQF6P3BGZN · pith_short_8: GV7CBJXQ

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/GV7CBJXQF6P3BGZNU7KFILZMM6 \
  | 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: 357e20a6f02f9fb09b2da7d4542f2c67b615694c6431b6e58274ffedf231f163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30ceb283ac77a1d3cec5bb2af9ee8aa07775a684ca62987d03f64d8c32211ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-24T04:56:42Z",
    "title_canon_sha256": "2f15bdf72876e97185c33b0d9f9dc3d67edefcd9b762fd3d04fbb80bef264800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08607",
    "kind": "arxiv",
    "version": 1
  }
}