Pith Number

pith:OIEKRTZR

pith:2015:OIEKRTZRF4R6BO4F3EQXFT7LUZ

not attested not anchored not stored refs pending

Mutual information and spontaneous symmetry breaking

A. Hamma, F. Illuminati, S. M. Giampaolo

arxiv:1501.06961 v2 · 2015-01-28 · cond-mat.str-el · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIEKRTZRF4R6BO4F3EQXFT7LUZ}

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	2026-05-18T01:22:41.339430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7208a8cf312f23e0bb85d92172cfeba64eb8b95f4da9cfc40a4dc60a5c21331e

Aliases

arxiv: 1501.06961 · arxiv_version: 1501.06961v2 · doi: 10.48550/arxiv.1501.06961 · pith_short_12: OIEKRTZRF4R6 · pith_short_16: OIEKRTZRF4R6BO4F · pith_short_8: OIEKRTZR

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/OIEKRTZRF4R6BO4F3EQXFT7LUZ \
  | 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: 7208a8cf312f23e0bb85d92172cfeba64eb8b95f4da9cfc40a4dc60a5c21331e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd0e1334d4c4858d4439a586604829adf3ba15db72b5c0bab65f53efd289f59",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-01-28T00:47:13Z",
    "title_canon_sha256": "ed1948442cbcc931f7be33767159b3a55d02625e912e4fa3825b7aba95b47ee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06961",
    "kind": "arxiv",
    "version": 2
  }
}