Pith Number

pith:OLL2ZW75

pith:2021:OLL2ZW75D6QIPQS4IOL5TI7JCM

not attested not anchored not stored refs pending

Landscape complexity beyond invariance and the elastic manifold

Benjamin McKenna, G\'erard Ben Arous, Paul Bourgade

arxiv:2105.05051 v1 · 2021-05-11 · math.PR · cond-mat.dis-nn · cond-mat.stat-mech · 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{OLL2ZW75D6QIPQS4IOL5TI7JCM}

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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.

Cited by

1 paper in Pith

The Legendre structure of the TAP complexity for the Ising spin glass

Receipt and verification

First computed	2026-07-05T02:39:27.617177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d7acdbfd1fa087c25c4397d9a3e9130475d1ca12a2fb8d7275f28b0b8747b2

Aliases

arxiv: 2105.05051 · arxiv_version: 2105.05051v1 · doi: 10.48550/arxiv.2105.05051 · pith_short_12: OLL2ZW75D6QI · pith_short_16: OLL2ZW75D6QIPQS4 · pith_short_8: OLL2ZW75

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/OLL2ZW75D6QIPQS4IOL5TI7JCM \
  | 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: 72d7acdbfd1fa087c25c4397d9a3e9130475d1ca12a2fb8d7275f28b0b8747b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f25881b93cbd72c0bdfc7fe02f8adc58ecb776170e2c45b320bfa41bb2b697b9",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-11T13:58:38Z",
    "title_canon_sha256": "0e64da4bdf27aa9f66f05914ca72ca47ca425e90f4d69ead3fbb0a2a558e1c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.05051",
    "kind": "arxiv",
    "version": 1
  }
}