Pith Number

pith:SILN3NEF

pith:2018:SILN3NEFEXJIQGY7TL5EKTT3HB

not attested not anchored not stored refs pending

Classes of Gap Balancing Numbers

Bruce Dearden, Jeremiah Bartz, Joel Iiams

arxiv:1810.07895 v1 · 2018-10-18 · 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{SILN3NEFEXJIQGY7TL5EKTT3HB}

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	2026-05-18T00:02:53.809273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9216ddb48525d2881b1f9afa454e7b38678df3aef44b955da3a43775bb5798b3

Aliases

arxiv: 1810.07895 · arxiv_version: 1810.07895v1 · doi: 10.48550/arxiv.1810.07895 · pith_short_12: SILN3NEFEXJI · pith_short_16: SILN3NEFEXJIQGY7 · pith_short_8: SILN3NEF

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/SILN3NEFEXJIQGY7TL5EKTT3HB \
  | 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: 9216ddb48525d2881b1f9afa454e7b38678df3aef44b955da3a43775bb5798b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d3c06b1431b2faa39a0890ce7038f3e52f16294b67348cfbfbf350a7fdd9e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-18T04:34:21Z",
    "title_canon_sha256": "d6fd2bc8a240ec52fb028c4fcfec63d771dc711850b781902f8e0e9f9fbaec38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07895",
    "kind": "arxiv",
    "version": 1
  }
}