Pith Number

pith:UNJ5OFO5

pith:2016:UNJ5OFO5NMFRXR3Z3B65HUHC2V

not attested not anchored not stored refs pending

Parisi formula for the ground state energy in the mixed p-spin model

Antonio Auffinger, Wei-Kuo Chen

arxiv:1606.05335 v2 · 2016-06-16 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNJ5OFO5NMFRXR3Z3B65HUHC2V}

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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

Spin-Boson Mapping of the Quantum Approximate Optimization Algorithm

Receipt and verification

First computed	2026-05-18T01:11:47.753395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a353d715dd6b0b1bc779d87dd3d0e2d54d058c50fefbf67ab2a6abefd195a6c4

Aliases

arxiv: 1606.05335 · arxiv_version: 1606.05335v2 · doi: 10.48550/arxiv.1606.05335 · pith_short_12: UNJ5OFO5NMFR · pith_short_16: UNJ5OFO5NMFRXR3Z · pith_short_8: UNJ5OFO5

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/UNJ5OFO5NMFRXR3Z3B65HUHC2V \
  | 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: a353d715dd6b0b1bc779d87dd3d0e2d54d058c50fefbf67ab2a6abefd195a6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1433a5f1e2f9bc7d47b668efe44ac8d4c27986ff605287dea94ca23ccf9fec45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-16T19:53:26Z",
    "title_canon_sha256": "1bdf311240a67a8790b9fb66f9baeff35994a3d7a985b7e129b97b5b5b19d54c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05335",
    "kind": "arxiv",
    "version": 2
  }
}