Pith Number

pith:6LYHLCV3

pith:2011:6LYHLCV3ABRCHXQYRAKR3KVQ5A

not attested not anchored not stored refs pending

The Strong Dodecahedral Conjecture and Fejes Toth's Conjecture on Sphere Packings with Kissing Number Twelve

Thomas C. Hales

arxiv:1110.0402 v2 · 2011-10-03 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LYHLCV3ABRCHXQYRAKR3KVQ5A}

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	2026-05-18T03:40:36.744302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f0758abb006223de1888151daab0e82fa7e2ebc210497a004bf8e5207b3931

Aliases

arxiv: 1110.0402 · arxiv_version: 1110.0402v2 · doi: 10.48550/arxiv.1110.0402 · pith_short_12: 6LYHLCV3ABRC · pith_short_16: 6LYHLCV3ABRCHXQY · pith_short_8: 6LYHLCV3

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/6LYHLCV3ABRCHXQYRAKR3KVQ5A \
  | 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: f2f0758abb006223de1888151daab0e82fa7e2ebc210497a004bf8e5207b3931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e78149df5f310af0befe935bc7dad0eec3076474f5403ef9e62d8ae1cd6f819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-03T16:22:00Z",
    "title_canon_sha256": "82996d7b9b70d8268140db703435c89bf0851e8df4fa8c566a9570ee985fc4df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0402",
    "kind": "arxiv",
    "version": 2
  }
}