Pith Number

pith:V5UVG2FU

pith:2018:V5UVG2FUNCMFODMPSNU7CIWE4L

not attested not anchored not stored refs pending

Solved and unsolved problems about abelian squares

Jamie Simpson

arxiv:1802.04481 v1 · 2018-02-13 · 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{V5UVG2FUNCMFODMPSNU7CIWE4L}

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

Binary Words Containing Few Abelian Squares

Receipt and verification

First computed	2026-05-18T00:23:44.088223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af695368b46898570d8f9369f122c4e2ebb5211b1a934b048d3308c9a729f51f

Aliases

arxiv: 1802.04481 · arxiv_version: 1802.04481v1 · doi: 10.48550/arxiv.1802.04481 · pith_short_12: V5UVG2FUNCMF · pith_short_16: V5UVG2FUNCMFODMP · pith_short_8: V5UVG2FU

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/V5UVG2FUNCMFODMPSNU7CIWE4L \
  | 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: af695368b46898570d8f9369f122c4e2ebb5211b1a934b048d3308c9a729f51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e277381dd4e016e2b26c8d134d04a7c72b2609426aaf7aa908a4050148f45bfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-13T06:57:38Z",
    "title_canon_sha256": "86c646211ff5547f092f33dd936fe4b71bdd318df60555452091e8b69ee7065c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04481",
    "kind": "arxiv",
    "version": 1
  }
}