Pith Number

pith:EEXMZQ2E

pith:2013:EEXMZQ2EAUALB47NZVCGDCC6U4

not attested not anchored not stored refs pending

"Magic" numbers in Smale's 7th problem

Johann S. Brauchart, Michael K.-H. Kiessling, Rachele Nerattini

arxiv:1307.2834 v3 · 2013-07-10 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EEXMZQ2EAUALB47NZVCGDCC6U4}

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	2026-05-18T02:32:39.076353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

212eccc3440500b0f3edcd4461885ea71e7c8c180a36823deeda2653113d4c68

Aliases

arxiv: 1307.2834 · arxiv_version: 1307.2834v3 · doi: 10.48550/arxiv.1307.2834 · pith_short_12: EEXMZQ2EAUAL · pith_short_16: EEXMZQ2EAUALB47N · pith_short_8: EEXMZQ2E

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/EEXMZQ2EAUALB47NZVCGDCC6U4 \
  | 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: 212eccc3440500b0f3edcd4461885ea71e7c8c180a36823deeda2653113d4c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6945ee631072400f27312fb5a696c487e440d9f27cfce6d408a4f00750894af6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-10T15:56:42Z",
    "title_canon_sha256": "614176363b41d5d41d4a3854fc28aa2a018fc1f842c48e052e5d74a433c6af66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2834",
    "kind": "arxiv",
    "version": 3
  }
}