Pith Number

pith:YSLIF2YI

pith:2021:YSLIF2YIX6LEAQKYZSYMORRZ4Y

not attested not anchored not stored refs pending

Free energy in multi-species mixed $p$-spin spherical models

Erik Bates, Youngtak Sohn

arxiv:2109.14790 v4 · 2021-09-30 · math.PR · cond-mat.dis-nn · 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{YSLIF2YIX6LEAQKYZSYMORRZ4Y}

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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

Balanced multi-species spin glasses

Receipt and verification

First computed	2026-07-05T11:33:11.822051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49682eb08bf96404158ccb0c74639e62b5fd5cf0894422e776386a01ecf3ef0

Aliases

arxiv: 2109.14790 · arxiv_version: 2109.14790v4 · doi: 10.48550/arxiv.2109.14790 · pith_short_12: YSLIF2YIX6LE · pith_short_16: YSLIF2YIX6LEAQKY · pith_short_8: YSLIF2YI

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/YSLIF2YIX6LEAQKYZSYMORRZ4Y \
  | 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: c49682eb08bf96404158ccb0c74639e62b5fd5cf0894422e776386a01ecf3ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6fbb05c18b571ba3f3c3bf442575f493dc5997580b3bfbe6d323421b7f6b0f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-09-30T01:34:32Z",
    "title_canon_sha256": "efa92493e6da1a091d9cdf929f0212c592ebdc1f0b71b17e9e81e609bf2aae6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14790",
    "kind": "arxiv",
    "version": 4
  }
}