Pith Number

pith:BTARVWPA

pith:2016:BTARVWPACLRA2WRSGP6Q2L76RL

not attested not anchored not stored refs pending

Bounding the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses

Aukosh Jagannath, Ian Tobasco

arxiv:1607.02134 v1 · 2016-07-07 · math.PR · 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{BTARVWPACLRA2WRSGP6Q2L76RL}

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	2026-05-18T00:09:00.839581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc11ad9e012e20d5a3233fd0d2ffe8ae728819860d3b552b73337d43ca29b29

Aliases

arxiv: 1607.02134 · arxiv_version: 1607.02134v1 · doi: 10.48550/arxiv.1607.02134 · pith_short_12: BTARVWPACLRA · pith_short_16: BTARVWPACLRA2WRS · pith_short_8: BTARVWPA

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/BTARVWPACLRA2WRSGP6Q2L76RL \
  | 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: 0cc11ad9e012e20d5a3233fd0d2ffe8ae728819860d3b552b73337d43ca29b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d366efcafac1bb2f340899c4237b0a87b3685154c7a0e41f58dfcc29963145",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-07T19:42:54Z",
    "title_canon_sha256": "b343118115cddd7aa90c3db8ccbed4d0f0551fcfd62845f80d8355cef7e7b6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02134",
    "kind": "arxiv",
    "version": 1
  }
}