Pith Number

pith:E7UTZKXI

pith:2026:E7UTZKXITA4PUDWKQIB65JYPBE

not attested not anchored not stored refs pending

Overlap distribution of the critical Sherrington-Kirkpatrick model

Brice Huang, Hang Du

arxiv:2608.08752 v1 · 2026-08-09 · 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{E7UTZKXITA4PUDWKQIB65JYPBE}

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	2026-08-11T01:25:13.780971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e93caae89838fa0eca8203eea70f0922b0428427668cf7875c31f23e720f2c

Aliases

arxiv: 2608.08752 · arxiv_version: 2608.08752v1 · doi: 10.48550/arxiv.2608.08752 · pith_short_12: E7UTZKXITA4P · pith_short_16: E7UTZKXITA4PUDWK · pith_short_8: E7UTZKXI

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/E7UTZKXITA4PUDWKQIB65JYPBE \
  | 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: 27e93caae89838fa0eca8203eea70f0922b0428427668cf7875c31f23e720f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcb482404248a25df76632b89894ae321f6cdd977701c8abcbbd794ffeb01d1",
    "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": "2026-08-09T15:03:26Z",
    "title_canon_sha256": "167837fb50a43bcfa34713444bf0a2d06ccc38c14ea9a21e6c4abef319023e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08752",
    "kind": "arxiv",
    "version": 1
  }
}