Pith Number

pith:IP4UW52R

pith:2022:IP4UW52RR5AU7JQZJDNWCKTJ4V

not attested not anchored not stored refs pending

Hamilton-Jacobi equations from mean-field spin glasses

Hong-Bin Chen, Jiaming Xia

arxiv:2201.12732 v5 · 2022-01-30 · math.AP · cond-mat.dis-nn · 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{IP4UW52RR5AU7JQZJDNWCKTJ4V}

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

On free energy of non-convex multi-species spin glasses

Receipt and verification

First computed	2026-07-05T11:25:58.110851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f94b77518f414fa61948db612a69e57f8411a1be7e76aa7a1547636362c796

Aliases

arxiv: 2201.12732 · arxiv_version: 2201.12732v5 · doi: 10.48550/arxiv.2201.12732 · pith_short_12: IP4UW52RR5AU · pith_short_16: IP4UW52RR5AU7JQZ · pith_short_8: IP4UW52R

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/IP4UW52RR5AU7JQZJDNWCKTJ4V \
  | 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: 43f94b77518f414fa61948db612a69e57f8411a1be7e76aa7a1547636362c796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a60ab15bdb3d391dd0bc8c76f0b11e51050c0968c9bfed1a9e1a70595e5bbc",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-30T05:29:41Z",
    "title_canon_sha256": "263247a428f8e553ae0af30cdc74167342bedfd9e3e1162d058583991260f435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.12732",
    "kind": "arxiv",
    "version": 5
  }
}