Pith Number

pith:3S5JJAJI

pith:2011:3S5JJAJIKCBJO35TLWI6M7IUUC

not attested not anchored not stored refs pending

Stability of the Spin Glass Phase under Perturbations

Claudio Giberti, Cristian Giardina', Pierluigi Contucci

arxiv:1101.2858 v2 · 2011-01-14 · 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{3S5JJAJIKCBJO35TLWI6M7IUUC}

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	2026-05-18T04:12:44.650917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcba9481285082976fb35d91e67d14a091c54caa5a05b19dfe71ae54a4043f7b

Aliases

arxiv: 1101.2858 · arxiv_version: 1101.2858v2 · doi: 10.48550/arxiv.1101.2858 · pith_short_12: 3S5JJAJIKCBJ · pith_short_16: 3S5JJAJIKCBJO35T · pith_short_8: 3S5JJAJI

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/3S5JJAJIKCBJO35TLWI6M7IUUC \
  | 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: dcba9481285082976fb35d91e67d14a091c54caa5a05b19dfe71ae54a4043f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4018ee2348efb140ae4c82aa4d113690d9f2db3ae3deef0b638dc498d3d055",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-14T16:35:16Z",
    "title_canon_sha256": "19d39d9f1d2eadf66f95c266a5f6fa3f928f012f9ba3327718af1abbf682856e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2858",
    "kind": "arxiv",
    "version": 2
  }
}