Pith Number

pith:MGSEPGG5

pith:2013:MGSEPGG5MG5NLHCHHOGXXMOJZT

not attested not anchored not stored refs pending

On the quantum-field description of many-particle Bose systems with spontaneously broken symmetry

Yu.M. Poluektov

arxiv:1306.2103 v1 · 2013-06-10 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGSEPGG5MG5NLHCHHOGXXMOJZT}

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	2026-05-18T03:21:22.364620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a44798dd61bad59c473b8d7bb1c9ccf319db2fdfbecfd65360f2088414d419

Aliases

arxiv: 1306.2103 · arxiv_version: 1306.2103v1 · doi: 10.48550/arxiv.1306.2103 · pith_short_12: MGSEPGG5MG5N · pith_short_16: MGSEPGG5MG5NLHCH · pith_short_8: MGSEPGG5

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/MGSEPGG5MG5NLHCHHOGXXMOJZT \
  | 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: 61a44798dd61bad59c473b8d7bb1c9ccf319db2fdfbecfd65360f2088414d419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6501751dcb1d29886366686d8dc56936bab19f2c376ec7c2f508487c08950e92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-06-10T05:04:57Z",
    "title_canon_sha256": "cb3e28e4cb0f5c1b50cce41f0d353d891e309575434f2ee715e27fce6835e26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2103",
    "kind": "arxiv",
    "version": 1
  }
}