Pith Number

pith:T3CFRKXS

pith:2011:T3CFRKXS4JYPTVKKAU4VB6E2K4

not attested not anchored not stored refs pending

Nonanalytic quantum oscillator image of complete replica symmetry breaking

Hannes Schenck, Reinhold Oppermann

arxiv:1105.3140 v1 · 2011-05-16 · 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{T3CFRKXS4JYPTVKKAU4VB6E2K4}

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	2026-05-18T02:01:57.831086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec458aaf2e270f9d54a053950f89a573bba024870ef5f7779ff7c2af0c61821

Aliases

arxiv: 1105.3140 · arxiv_version: 1105.3140v1 · doi: 10.48550/arxiv.1105.3140 · pith_short_12: T3CFRKXS4JYP · pith_short_16: T3CFRKXS4JYPTVKK · pith_short_8: T3CFRKXS

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/T3CFRKXS4JYPTVKKAU4VB6E2K4 \
  | 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: 9ec458aaf2e270f9d54a053950f89a573bba024870ef5f7779ff7c2af0c61821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea328029316f8c8a7789b2b2e26c153a5b4a9da68427dbfb66ca1bfe64abd007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-05-16T16:24:40Z",
    "title_canon_sha256": "dd87a9a39eadc3ca63e68ce8be8ee1194df815c351bfdb93930fe74984916d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3140",
    "kind": "arxiv",
    "version": 1
  }
}