Pith Number

pith:ABXOKONW

pith:2017:ABXOKONW7PW7KZZA5KDPKD76SG

not attested not anchored not stored refs pending

On certain ratios regarding integer numbers which are both triangulars and squares

Fabio Roman

arxiv:1703.06701 v1 · 2017-03-20 · 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{ABXOKONW7PW7KZZA5KDPKD76SG}

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	2026-05-18T00:48:21.998724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006ee539b6fbedf56720ea86f50ffe9195875387dff6f60efe312efdaff8cf4a

Aliases

arxiv: 1703.06701 · arxiv_version: 1703.06701v1 · doi: 10.48550/arxiv.1703.06701 · pith_short_12: ABXOKONW7PW7 · pith_short_16: ABXOKONW7PW7KZZA · pith_short_8: ABXOKONW

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/ABXOKONW7PW7KZZA5KDPKD76SG \
  | 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: 006ee539b6fbedf56720ea86f50ffe9195875387dff6f60efe312efdaff8cf4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f57005b8cb677a5b75498e9ecd9db0b33f667cdb257c368dad4f6b6853277d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-20T12:10:39Z",
    "title_canon_sha256": "2cbced99c2f58698683e2ab354dd3d7ffb10b138cf16f7fd2f398bb0c197e33c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06701",
    "kind": "arxiv",
    "version": 1
  }
}