Pith Number

pith:MF3TSHUT

pith:2023:MF3TSHUTR4EH4WESFJHTUB7463

not attested not anchored not stored refs pending

Shattering in the Ising Pure $p$-Spin Model

Aukosh Jagannath, David Gamarnik, Eren C. K{\i}z{\i}lda\u{g}

arxiv:2307.07461 v1 · 2023-07-14 · 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{MF3TSHUTR4EH4WESFJHTUB7463}

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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

Quantum Glassiness From Efficient Learning

Receipt and verification

First computed	2026-07-05T06:30:56.018427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6177391e938f087e58922a4f3a07fcf6d3a9c1906c5c6924abdf99fde843880d

Aliases

arxiv: 2307.07461 · arxiv_version: 2307.07461v1 · doi: 10.48550/arxiv.2307.07461 · pith_short_12: MF3TSHUTR4EH · pith_short_16: MF3TSHUTR4EH4WES · pith_short_8: MF3TSHUT

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/MF3TSHUTR4EH4WESFJHTUB7463 \
  | 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: 6177391e938f087e58922a4f3a07fcf6d3a9c1906c5c6924abdf99fde843880d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d349676a27c1cf5c01f1a704f0a88bad27428cf25409c8275d62afdb39c30c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-14T16:43:18Z",
    "title_canon_sha256": "d8c38ee20d419b71540315deba6a3107b06111b376cc77c7366f1b81db122d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07461",
    "kind": "arxiv",
    "version": 1
  }
}