Pith Number

pith:FQCXX5BV

pith:2019:FQCXX5BVK7VD56WDZWIZI6DLEQ

not attested not anchored not stored refs pending

No replica symmetry breaking phase in random field Ginzburg-Landau model

C. Itoi, Y. Utsunomiya

arxiv:1907.07329 v1 · 2019-07-17 · 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{FQCXX5BVK7VD56WDZWIZI6DLEQ}

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	2026-07-04T23:55:56.746197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c057bf43557ea3efac3cd9194786b242bbcd8fd5f666a20d5c3a54676d97b68

Aliases

arxiv: 1907.07329 · arxiv_version: 1907.07329v1 · doi: 10.48550/arxiv.1907.07329 · pith_short_12: FQCXX5BVK7VD · pith_short_16: FQCXX5BVK7VD56WD · pith_short_8: FQCXX5BV

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/FQCXX5BVK7VD56WDZWIZI6DLEQ \
  | 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: 2c057bf43557ea3efac3cd9194786b242bbcd8fd5f666a20d5c3a54676d97b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34dfeb3116af9abfd5d1a22c96d0aff1d3c0f66d9a46c301da721a5b854ba801",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-17T04:35:51Z",
    "title_canon_sha256": "ba307df69c3fdb99122375a697d76d8a7152148e3e4abc788125b0967c4ecdb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07329",
    "kind": "arxiv",
    "version": 1
  }
}