Pith Number

pith:QWLEWTJ2

pith:2017:QWLEWTJ2SNM3BD5RKYFL45GEYG

not attested not anchored not stored refs pending

Proof of L\'aszl\'o Fejes T\'oth's zone conjecture

Alexandr Polyanskii, Zilin Jiang

arxiv:1703.10550 v2 · 2017-03-30 · math.MG · 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{QWLEWTJ2SNM3BD5RKYFL45GEYG}

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	2026-05-18T00:27:46.884150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85964b4d3a9359b08fb1560abe74c4c19a6e799097bf51c2dea9f917510db725

Aliases

arxiv: 1703.10550 · arxiv_version: 1703.10550v2 · doi: 10.48550/arxiv.1703.10550 · pith_short_12: QWLEWTJ2SNM3 · pith_short_16: QWLEWTJ2SNM3BD5R · pith_short_8: QWLEWTJ2

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/QWLEWTJ2SNM3BD5RKYFL45GEYG \
  | 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: 85964b4d3a9359b08fb1560abe74c4c19a6e799097bf51c2dea9f917510db725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8a3a005c07a84ba7c824f42d03cbcfb3e98b2b8997a4d9c21974665e6c32e5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-03-30T16:14:52Z",
    "title_canon_sha256": "77914d942d8b1dcc30f9cdc502ea8f36d13b7c70a0ae1e1612e9474a8db6457d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10550",
    "kind": "arxiv",
    "version": 2
  }
}