Pith Number

pith:U4HI2K4I

pith:2016:U4HI2K4I52TFFR4HH4QIFK4URN

not attested not anchored not stored refs pending

Partitions of the set of nonnegative integers with the same representation functions

Csaba S\'andor, S\'andor Z. Kiss

arxiv:1606.06929 v2 · 2016-06-22 · 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{U4HI2K4I52TFFR4HH4QIFK4URN}

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	2026-05-18T01:08:28.532773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70e8d2b88eea652c7873f2082ab948b78a5f30bb179807b4898c54568009195

Aliases

arxiv: 1606.06929 · arxiv_version: 1606.06929v2 · doi: 10.48550/arxiv.1606.06929 · pith_short_12: U4HI2K4I52TF · pith_short_16: U4HI2K4I52TFFR4H · pith_short_8: U4HI2K4I

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/U4HI2K4I52TFFR4HH4QIFK4URN \
  | 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: a70e8d2b88eea652c7873f2082ab948b78a5f30bb179807b4898c54568009195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48312d52c229d95cfeb4f4f0789f0a58b1c052e254f5f48eaff66e633849509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-22T12:43:32Z",
    "title_canon_sha256": "9afc65f6fd8c5700cb671b4bb2c13c36f8d8816ea8965afa5fc25b01148f60cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06929",
    "kind": "arxiv",
    "version": 2
  }
}