Pith Number

pith:TJ2MUSJR

pith:2011:TJ2MUSJRWSDC3SVTOCRPBUFZES

not attested not anchored not stored refs pending

On bi-unitary harmonic numbers

Jozsef Sandor

arxiv:1105.0294 v1 · 2011-05-02 · 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{TJ2MUSJRWSDC3SVTOCRPBUFZES}

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	2026-05-18T04:23:12.081894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a74ca4931b4862dcab370a2f0d0b924bef823c962cd1567dc1019ed39a7648f

Aliases

arxiv: 1105.0294 · arxiv_version: 1105.0294v1 · doi: 10.48550/arxiv.1105.0294 · pith_short_12: TJ2MUSJRWSDC · pith_short_16: TJ2MUSJRWSDC3SVT · pith_short_8: TJ2MUSJR

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/TJ2MUSJRWSDC3SVTOCRPBUFZES \
  | 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: 9a74ca4931b4862dcab370a2f0d0b924bef823c962cd1567dc1019ed39a7648f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ec0dcf76d4d9a90c35f39b5b821d3d1c8d481305bfac75db41221717b2fab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-02T10:42:00Z",
    "title_canon_sha256": "58484797ecc209b9ff14d3cd5ff963d58e76495d471ae250e019572dc2522a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0294",
    "kind": "arxiv",
    "version": 1
  }
}