Pith Number

pith:SPE3D4I5

pith:2010:SPE3D4I5PIAZECMXUWNAZJRHO4

not attested not anchored not stored refs pending

Stability of the replica-symmetric saddle-point in general mean-field spin-glass models

Andreas Engel, Katharina Janzen

arxiv:1008.1733 v1 · 2010-08-10 · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPE3D4I5PIAZECMXUWNAZJRHO4}

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	2026-05-18T02:05:49.767665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c9b1f11d7a01920997a59a0ca62777134e8a302487dc8ff5d74efad11c6989

Aliases

arxiv: 1008.1733 · arxiv_version: 1008.1733v1 · doi: 10.48550/arxiv.1008.1733 · pith_short_12: SPE3D4I5PIAZ · pith_short_16: SPE3D4I5PIAZECMX · pith_short_8: SPE3D4I5

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/SPE3D4I5PIAZECMXUWNAZJRHO4 \
  | 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: 93c9b1f11d7a01920997a59a0ca62777134e8a302487dc8ff5d74efad11c6989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6751ee47ffaf38f85d4686f89ac0e4c60dfe75f2963ed9ad668034a774759ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-08-10T15:00:32Z",
    "title_canon_sha256": "41ab6057b100cf1033539236375e367d0fbff9cfd7e1567cf9ca4245215e5cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1733",
    "kind": "arxiv",
    "version": 1
  }
}