Pith Number

pith:LT4QAU4G

pith:2015:LT4QAU4GCEVDX7H5C6WOETDJAV

not attested not anchored not stored refs pending

A higher Boltzmann distribution

John R. Klein, Michael J. Catanzaro, Vladimir Y. Chernyak

arxiv:1506.06775 v5 · 2015-06-22 · math.AT · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT4QAU4GCEVDX7H5C6WOETDJAV}

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	2026-05-18T00:47:59.364084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf9005386112a3bfcfd17ace24c690568b7b5757d9df0e27adad173a0c9abaa

Aliases

arxiv: 1506.06775 · arxiv_version: 1506.06775v5 · doi: 10.48550/arxiv.1506.06775 · pith_short_12: LT4QAU4GCEVD · pith_short_16: LT4QAU4GCEVDX7H5 · pith_short_8: LT4QAU4G

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/LT4QAU4GCEVDX7H5C6WOETDJAV \
  | 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: 5cf9005386112a3bfcfd17ace24c690568b7b5757d9df0e27adad173a0c9abaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13cc6be62ce8db9fc54cce03a60982d55cfdf9e1311290b25c508a10c12756ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-06-22T20:12:43Z",
    "title_canon_sha256": "ab2a8c2368b951650ec8f787432f5f16bbf7264b1d34eb5202e9e30bf3c44f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06775",
    "kind": "arxiv",
    "version": 5
  }
}