Pith Number

pith:PSIGPLZF

pith:2017:PSIGPLZFNHWBFHLEO6IGHK5ZT6

not attested not anchored not stored refs pending

Perfect numbers and Fibonacci primes (III)

Hao Zhong, Tianxin Cai

arxiv:1709.06337 v1 · 2017-09-19 · 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{PSIGPLZFNHWBFHLEO6IGHK5ZT6}

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	2026-05-18T00:34:53.476115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9067af2569ec129d64779063abb99fb60d145dc5c9a689b75bc97abbde7917

Aliases

arxiv: 1709.06337 · arxiv_version: 1709.06337v1 · doi: 10.48550/arxiv.1709.06337 · pith_short_12: PSIGPLZFNHWB · pith_short_16: PSIGPLZFNHWBFHLE · pith_short_8: PSIGPLZF

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/PSIGPLZFNHWBFHLEO6IGHK5ZT6 \
  | 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: 7c9067af2569ec129d64779063abb99fb60d145dc5c9a689b75bc97abbde7917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82672c7b8412fdf98f5360b600ce0a5ff2c692a099e9b9be49029929ff610c7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-19T10:38:25Z",
    "title_canon_sha256": "e2e6742648a6e421bc9fb7a4e7e882c406d8d4a2bd86983c019eb29c276f1c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06337",
    "kind": "arxiv",
    "version": 1
  }
}