Pith Number

pith:QFG4FNSG

pith:2017:QFG4FNSGMX6J2QQB65OIDBUHC5

not attested not anchored not stored refs pending

On the 1-3-5 conjecture and related topics

Hai-Liang Wu, Zhi-Wei Sun

arxiv:1710.08763 v4 · 2017-10-09 · 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{QFG4FNSGMX6J2QQB65OIDBUHC5}

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	2026-07-05T00:46:00.570927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

814dc2b64665fc9d4201f75c818687176c11e12837f2ad37b2889fe616e84bd3

Aliases

arxiv: 1710.08763 · arxiv_version: 1710.08763v4 · doi: 10.48550/arxiv.1710.08763 · pith_short_12: QFG4FNSGMX6J · pith_short_16: QFG4FNSGMX6J2QQB · pith_short_8: QFG4FNSG

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/QFG4FNSGMX6J2QQB65OIDBUHC5 \
  | 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: 814dc2b64665fc9d4201f75c818687176c11e12837f2ad37b2889fe616e84bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1e320eee2bde1fcb379dd5c7b04e26dcbc979afbcf1d97ad26f744f32348ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-09T17:25:22Z",
    "title_canon_sha256": "92cb204c269e2c8c7a505ca5c28d373ce0dd51a6249af8e2f0fc3d828eb57f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08763",
    "kind": "arxiv",
    "version": 4
  }
}