Pith Number

pith:V4B7N3FK

pith:2016:V4B7N3FKXA3CHQ3Q4HI6TOKQJZ

not attested not anchored not stored refs pending

Proof of a recent conjecture of Z.-W. Sun

Song Guo, Victor J. W. Guo

arxiv:1604.05019 v1 · 2016-04-18 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4B7N3FKXA3CHQ3Q4HI6TOKQJZ}

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	2026-05-18T01:16:56.034622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af03f6ecaab83623c370e1d1e9b9504e42da73b3c047b81689259a8bf28d8636

Aliases

arxiv: 1604.05019 · arxiv_version: 1604.05019v1 · doi: 10.48550/arxiv.1604.05019 · pith_short_12: V4B7N3FKXA3C · pith_short_16: V4B7N3FKXA3CHQ3Q · pith_short_8: V4B7N3FK

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/V4B7N3FKXA3CHQ3Q4HI6TOKQJZ \
  | 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: af03f6ecaab83623c370e1d1e9b9504e42da73b3c047b81689259a8bf28d8636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6877108bcd28cc4e450797e2266b5015874881384c543294334375178070f1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-18T07:22:38Z",
    "title_canon_sha256": "966297c5a5e6ef4958338cc66e9bdaafd2ca23c978f00d12163fff7992a160db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05019",
    "kind": "arxiv",
    "version": 1
  }
}