Pith Number

pith:HCJGEDBF

pith:2013:HCJGEDBFUU5O4NTZKFBQDWC4PI

not attested not anchored not stored refs pending

On additive properties of sets defined by the Thue-Morse word

Luca Q. Zamboni, Michelangelo Bucci, Neil Hindman, Svetlana Puzynina

arxiv:1301.5118 v2 · 2013-01-22 · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCJGEDBFUU5O4NTZKFBQDWC4PI}

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	2026-05-18T03:32:04.817211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3892620c25a53aee3679514301d85c7a1b5908391e952a2846a78172a8ac6235

Aliases

arxiv: 1301.5118 · arxiv_version: 1301.5118v2 · doi: 10.48550/arxiv.1301.5118 · pith_short_12: HCJGEDBFUU5O · pith_short_16: HCJGEDBFUU5O4NTZ · pith_short_8: HCJGEDBF

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/HCJGEDBFUU5O4NTZKFBQDWC4PI \
  | 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: 3892620c25a53aee3679514301d85c7a1b5908391e952a2846a78172a8ac6235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95822656c8e7aac7076e65ed9d5445406ddf801c33aad863142f84d83c47bb9f",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-22T09:20:07Z",
    "title_canon_sha256": "ea2e772c8eae1aa1350bdd67c41c1b9db424ace366c61bf4725e4dd1e9379f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5118",
    "kind": "arxiv",
    "version": 2
  }
}