Pith Number

pith:CM7A7KT4

pith:2016:CM7A7KT4ZZGK2UE4RPNWJPKFZT

not attested not anchored not stored refs pending

Vacuum energy of the Bukhvostov-Lipatov model

Boris A. Runov, Sergei L. Lukyanov, Vladimir V. Bazhanov

arxiv:1607.04839 v1 · 2016-07-17 · hep-th · cond-mat.str-el · 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{CM7A7KT4ZZGK2UE4RPNWJPKFZT}

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	2026-05-18T01:02:37.915338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133e0faa7cce4cad509c8bdb64bd45ccf029a091908a416e90b32606014ef2d7

Aliases

arxiv: 1607.04839 · arxiv_version: 1607.04839v1 · doi: 10.48550/arxiv.1607.04839 · pith_short_12: CM7A7KT4ZZGK · pith_short_16: CM7A7KT4ZZGK2UE4 · pith_short_8: CM7A7KT4

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/CM7A7KT4ZZGK2UE4RPNWJPKFZT \
  | 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: 133e0faa7cce4cad509c8bdb64bd45ccf029a091908a416e90b32606014ef2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f20fdc1f950a1a368868ad6688a1f03dc61d435d1e4f8da57242c620cc91472",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-17T09:10:12Z",
    "title_canon_sha256": "50f96d09ec627f6a2e6ca12cba512088d4eb473108b10f48dbd0e27908fa380b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04839",
    "kind": "arxiv",
    "version": 1
  }
}