Pith Number

pith:X4RLWDK4

pith:2016:X4RLWDK4UZHLDRMTCFCSQVSYOF

not attested not anchored not stored refs pending

On the energy landscape of the mixed even $p$-spin model

Gilad Lerman, Madeline Handschy, Wei-Kuo Chen

arxiv:1609.04368 v4 · 2016-09-14 · 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{X4RLWDK4UZHLDRMTCFCSQVSYOF}

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.

Receipt and verification

First computed	2026-05-18T00:01:30.741140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf22bb0d5ca64eb1c5931145285658714f99a7b8a0ecd40c06211ff4985a120c

Aliases

arxiv: 1609.04368 · arxiv_version: 1609.04368v4 · doi: 10.48550/arxiv.1609.04368 · pith_short_12: X4RLWDK4UZHL · pith_short_16: X4RLWDK4UZHLDRMT · pith_short_8: X4RLWDK4

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/X4RLWDK4UZHLDRMTCFCSQVSYOF \
  | 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: bf22bb0d5ca64eb1c5931145285658714f99a7b8a0ecd40c06211ff4985a120c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a078daa27434e9e89ce7a5bf771c4074b477651bb5f1ebe2116b3c1e7b52fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-14T18:01:35Z",
    "title_canon_sha256": "0e98f24b437f5d93773900b00e1e5fa6133f947667cd2ff6c3c98382328d6199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04368",
    "kind": "arxiv",
    "version": 4
  }
}