Pith Number

pith:IA4VIU33

pith:2018:IA4VIU33N2LU45BP3O4SIP77UE

not attested not anchored not stored refs pending

Pythagorean Triplets, Integral Apollonians and The Hofstadter Butterfly

Indubala Satija

arxiv:1802.04585 v3 · 2018-02-13 · nlin.CD · cond-mat.dis-nn · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IA4VIU33N2LU45BP3O4SIP77UE}

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	2026-05-18T00:03:24.687292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403954537b6e974e742fdbb9243fffa11884a786f581c9893f0890095097635f

Aliases

arxiv: 1802.04585 · arxiv_version: 1802.04585v3 · doi: 10.48550/arxiv.1802.04585 · pith_short_12: IA4VIU33N2LU · pith_short_16: IA4VIU33N2LU45BP · pith_short_8: IA4VIU33

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/IA4VIU33N2LU45BP3O4SIP77UE \
  | 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: 403954537b6e974e742fdbb9243fffa11884a786f581c9893f0890095097635f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075ad8f059ff83e1c19f61441df4cb95b2b24a1d40a7af9d21c8269df63fee02",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2018-02-13T12:29:36Z",
    "title_canon_sha256": "f53aef3d686528522420e402efa4d64e833894b3e930cd946b8823c5a7df41b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04585",
    "kind": "arxiv",
    "version": 3
  }
}