Pith Number

pith:GQK6J5SH

pith:2016:GQK6J5SHTZD6KNJII2FEGVQGYD

not attested not anchored not stored refs pending

Topological Expansion in the Complex Cubic Log-Gas Model. One-Cut Case

Alfredo Dea\~no, Maxim Yattselev, Pavel M. Bleher

arxiv:1606.04303 v1 · 2016-06-14 · math-ph · math.CA · 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{GQK6J5SHTZD6KNJII2FEGVQGYD}

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	2026-05-18T00:42:44.360259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3415e4f6479e47e53528468a435606c0f3ea7ccd74e16f1869ebe746156f8a55

Aliases

arxiv: 1606.04303 · arxiv_version: 1606.04303v1 · doi: 10.48550/arxiv.1606.04303 · pith_short_12: GQK6J5SHTZD6 · pith_short_16: GQK6J5SHTZD6KNJI · pith_short_8: GQK6J5SH

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/GQK6J5SHTZD6KNJII2FEGVQGYD \
  | 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: 3415e4f6479e47e53528468a435606c0f3ea7ccd74e16f1869ebe746156f8a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01244ccc2086f5a1b86888eabeef6f7afe40c961c3163d0411ea895af5340eab",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-14T10:55:35Z",
    "title_canon_sha256": "c80845cc0d002091724b9bf5ac9fd735ce8531a75877c8986203b6d6e0a910e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04303",
    "kind": "arxiv",
    "version": 1
  }
}