Pith Number

pith:ZHJ2DBUN

pith:2023:ZHJ2DBUN7DULA3QTGOAFHFQ54Z

not attested not anchored not stored refs pending

Non-standard binary representations and the Stern sequence

Joseph Vandehey, Katie Anders, Madeline Locus Dawsey, Rajat Gupta

arxiv:2308.07448 v1 · 2023-08-14 · math.CO · 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{ZHJ2DBUN7DULA3QTGOAFHFQ54Z}

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	2026-07-05T06:41:25.731582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d3a1868df8e8b06e13338053961de66b71899beade41843303576d3d64946a

Aliases

arxiv: 2308.07448 · arxiv_version: 2308.07448v1 · doi: 10.48550/arxiv.2308.07448 · pith_short_12: ZHJ2DBUN7DUL · pith_short_16: ZHJ2DBUN7DULA3QT · pith_short_8: ZHJ2DBUN

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/ZHJ2DBUN7DULA3QTGOAFHFQ54Z \
  | 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: c9d3a1868df8e8b06e13338053961de66b71899beade41843303576d3d64946a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40b0f689bf8e5ed74df13b13108ad7c5f4cc8525d19f74ade1c62dc11566899",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-14T20:38:49Z",
    "title_canon_sha256": "e7f17ac1f346cec9a2fbd48837815ae0bf68a7388829c2cf9fe5885312f19e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07448",
    "kind": "arxiv",
    "version": 1
  }
}