Pith Number

pith:OQSZPG7K

pith:2016:OQSZPG7KM3RPCEEFIHCYSIOLBJ

not attested not anchored not stored refs pending

Universality of Ghirlanda-Guerra identities and spin distributions in mixed $p$-spin models

Yu-Ting Chen

arxiv:1612.09250 v3 · 2016-12-29 · 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{OQSZPG7KM3RPCEEFIHCYSIOLBJ}

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	2026-05-18T00:22:06.471656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7425979bea66e2f1108541c58921cb0a59211dc7ff889824ad6b6be0c181f659

Aliases

arxiv: 1612.09250 · arxiv_version: 1612.09250v3 · doi: 10.48550/arxiv.1612.09250 · pith_short_12: OQSZPG7KM3RP · pith_short_16: OQSZPG7KM3RPCEEF · pith_short_8: OQSZPG7K

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/OQSZPG7KM3RPCEEFIHCYSIOLBJ \
  | 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: 7425979bea66e2f1108541c58921cb0a59211dc7ff889824ad6b6be0c181f659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691ca47ece5fa8b07aaf7f55c9890f11fae633d69ff5cfad7c5271cf93b49742",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-29T19:12:06Z",
    "title_canon_sha256": "3ec8b7c258c15f4b685eec4381e8f1e01f36a20e278e6e719b6844367c9b5f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09250",
    "kind": "arxiv",
    "version": 3
  }
}