Pith Number

pith:Z5SCQOVF

pith:2020:Z5SCQOVFJOTCILLZ4HW4OO7SE4

not attested not anchored not stored refs pending

Spherical spin glass model with external field

Elizabeth Collins-Woodfin, Hao Wu, Jinho Baik, Pierre Le Doussal

arxiv:2010.06123 v3 · 2020-10-13 · cond-mat.dis-nn · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5SCQOVFJOTCILLZ4HW4OO7SE4}

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.

Cited by

1 paper in Pith

Critical Fluctuations for the Spherical Sherrington-Kirkpatrick Model in an External Field

Receipt and verification

First computed	2026-07-05T02:43:09.902518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf64283aa54ba6242d79e1edc73bf2270066179d3c665596de2d503189c15018

Aliases

arxiv: 2010.06123 · arxiv_version: 2010.06123v3 · doi: 10.48550/arxiv.2010.06123 · pith_short_12: Z5SCQOVFJOTC · pith_short_16: Z5SCQOVFJOTCILLZ · pith_short_8: Z5SCQOVF

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/Z5SCQOVFJOTCILLZ4HW4OO7SE4 \
  | 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: cf64283aa54ba6242d79e1edc73bf2270066179d3c665596de2d503189c15018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f615fa4a65e32d135e8e8ac4af0e5e04f6447d76bcb154645cf5464e7e515bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2020-10-13T02:32:15Z",
    "title_canon_sha256": "9bc73ea97b746d07f980b4801fe42f170c2ebb5c11d169e8579acce12d042e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.06123",
    "kind": "arxiv",
    "version": 3
  }
}