Pith Number

pith:2YZ52Q5S

pith:2022:2YZ52Q5STVM5J2YRHLXERBFKYJ

not attested not anchored not stored refs pending

Gaps labeling theorem for the Bubble-diamond self-similar graphs

Alexander Teplyaev, Elizabeth Melville, Gamal Mograby, Luke Rogers, Nikhil Nagabandi

arxiv:2204.11401 v3 · 2022-04-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YZ52Q5STVM5J2YRHLXERBFKYJ}

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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

Orthogonal Polynomials on Bubble-Diamond Fractals

Receipt and verification

First computed	2026-07-05T06:49:15.259831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d633dd43b29d59d4eb113aee4884aac25ac06c14b733e029467a685a1feda097

Aliases

arxiv: 2204.11401 · arxiv_version: 2204.11401v3 · doi: 10.48550/arxiv.2204.11401 · pith_short_12: 2YZ52Q5STVM5 · pith_short_16: 2YZ52Q5STVM5J2YR · pith_short_8: 2YZ52Q5S

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/2YZ52Q5STVM5J2YRHLXERBFKYJ \
  | 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: d633dd43b29d59d4eb113aee4884aac25ac06c14b733e029467a685a1feda097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33e38f2407e4648cc674aaf7033d8473b3065b3be15ec80b9bd36ba10a71b3c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-04-25T02:38:14Z",
    "title_canon_sha256": "77b3a6878d9f928adee320bc247c28d616e0788e20dff977fc6e8c08b3c8fda4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.11401",
    "kind": "arxiv",
    "version": 3
  }
}