Pith Number

pith:U5BLQX7A

pith:2018:U5BLQX7AIR2T3GWWMHXHE5N4VI

not attested not anchored not stored refs pending

Exponential decay in the loop $O(n)$ model: $n> 1$, $x<\tfrac{1}{\sqrt{3}}+\varepsilon(n)$

Alexander Glazman, Ioan Manolescu

arxiv:1810.11302 v2 · 2018-10-26 · math.PR · math-ph · 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{U5BLQX7AIR2T3GWWMHXHE5N4VI}

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	2026-05-17T23:56:36.358281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a742b85fe044753d9ad661ee7275bcaa2df282bb980639ec2d275aaa349b2a3d

Aliases

arxiv: 1810.11302 · arxiv_version: 1810.11302v2 · doi: 10.48550/arxiv.1810.11302 · pith_short_12: U5BLQX7AIR2T · pith_short_16: U5BLQX7AIR2T3GWW · pith_short_8: U5BLQX7A

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/U5BLQX7AIR2T3GWWMHXHE5N4VI \
  | 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: a742b85fe044753d9ad661ee7275bcaa2df282bb980639ec2d275aaa349b2a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a78cca6ff752842875d0cd3f2453459c7ccc84614d3c3f1fd0a0cdfff0d64f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-26T12:59:37Z",
    "title_canon_sha256": "1a5bbe4ee53038875f3bba37b088969c7bb07ee5ecc988768195f59808470e05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11302",
    "kind": "arxiv",
    "version": 2
  }
}