Pith Number

pith:I5S4XZXW

pith:2017:I5S4XZXWB5NNZ3T2CD4OIJQDVB

not attested not anchored not stored refs pending

Diophantine Equation with Arithmetic functions and Binary recurrent sequences

Bernadette Faye

arxiv:1712.04345 v1 · 2017-12-11 · 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{I5S4XZXWB5NNZ3T2CD4OIJQDVB}

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	2026-05-18T00:28:08.266599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4765cbe6f60f5adcee7a10f8e42603a87bc116cc99ab1cb4f57ecb7859126d88

Aliases

arxiv: 1712.04345 · arxiv_version: 1712.04345v1 · doi: 10.48550/arxiv.1712.04345 · pith_short_12: I5S4XZXWB5NN · pith_short_16: I5S4XZXWB5NNZ3T2 · pith_short_8: I5S4XZXW

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/I5S4XZXWB5NNZ3T2CD4OIJQDVB \
  | 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: 4765cbe6f60f5adcee7a10f8e42603a87bc116cc99ab1cb4f57ecb7859126d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2785bde5173586b8a5030ab5928be0dd64d7a92553d9f83d2b68cba8277496f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-11T10:08:04Z",
    "title_canon_sha256": "775d5ed62902caed1ef410a4bd157a330c896ee8c4600b085eb003d2fb8af6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04345",
    "kind": "arxiv",
    "version": 1
  }
}