Pith Number

pith:VEBFGSIK

pith:2024:VEBFGSIKXK6P2MZTKIMZKRB5EU

not attested not anchored not stored refs pending

Potential Hessian Ascent: The Sherrington-Kirkpatrick Model

David Jekel, Jonathan Shi, Juspreet Singh Sandhu

arxiv:2408.02360 v3 · 2024-08-05 · math.PR · cs.DS · 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{VEBFGSIKXK6P2MZTKIMZKRB5EU}

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	2026-05-21T02:04:45.950419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90253490ababcfd3333521995443d251174a6f41b351bdf1dbe937aff1bc6f7

Aliases

arxiv: 2408.02360 · arxiv_version: 2408.02360v3 · doi: 10.48550/arxiv.2408.02360 · pith_short_12: VEBFGSIKXK6P · pith_short_16: VEBFGSIKXK6P2MZT · pith_short_8: VEBFGSIK

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/VEBFGSIKXK6P2MZTKIMZKRB5EU \
  | 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: a90253490ababcfd3333521995443d251174a6f41b351bdf1dbe937aff1bc6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3b11452a8fc449b942e09179674fdf071a1d898d2925b11c6b7182aa0b7959",
    "cross_cats_sorted": [
      "cs.DS",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-08-05T10:09:32Z",
    "title_canon_sha256": "0fec4bc6be4c2afc37d06f4b97c6e621093989ae60ec779433d75841e788fb99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.02360",
    "kind": "arxiv",
    "version": 3
  }
}