Pith Number

pith:TJNU3PRY

pith:2025:TJNU3PRYAG7TNKV6RBROCKG646

not attested not anchored not stored refs pending

Ground state energies of multipartite $p$-spin models -- partially lifted RDT view

Mihailo Stojnic

arxiv:2509.05916 v1 · 2025-09-07 · math.PR · cond-mat.dis-nn · cs.IT · math-ph · math.IT · 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{TJNU3PRYAG7TNKV6RBROCKG646}

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	2026-07-05T12:06:26.401187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5b4dbe3801bf36aabe8862e128dee7bbf8d801a54d83333af80390f0a0df42

Aliases

arxiv: 2509.05916 · arxiv_version: 2509.05916v1 · doi: 10.48550/arxiv.2509.05916 · pith_short_12: TJNU3PRYAG7T · pith_short_16: TJNU3PRYAG7TNKV6 · pith_short_8: TJNU3PRY

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/TJNU3PRYAG7TNKV6RBROCKG646 \
  | 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: 9a5b4dbe3801bf36aabe8862e128dee7bbf8d801a54d83333af80390f0a0df42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a823dfb5696b41d4594942d0139201aefce02e8faf51e636eb9b381fa606d81a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-07T04:23:31Z",
    "title_canon_sha256": "9af44619d4e8ae5fd812472046381d2d77f866267bdcf02991d77a623a913cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05916",
    "kind": "arxiv",
    "version": 1
  }
}