Pith Number

pith:NRKXLH5M

pith:1999:NRKXLH5MXKCALIXMEAOW7QTYSJ

not attested not anchored not stored refs pending

Spontaneously Broken Translational Invariance of Compactified Space

K.Takenaga (I.N.F.N, M. Sakamoto(Kobe Univ.), M. Tachibana(Kobe Univ.), Pisa)

arxiv:hep-th/9902069 v1 · 1999-02-10 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRKXLH5MXKCALIXMEAOW7QTYSJ}

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.

Cited by

1 paper in Pith

Vacuum structure of a scalar field on a torus with uniform magnetic flux

Receipt and verification

First computed	2026-07-04T16:14:44.969657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c55759facba8405a2ec201d6fc278925fcedad97970ecd457ece76accd9bc51

Aliases

arxiv: hep-th/9902069 · arxiv_version: hep-th/9902069v1 · doi: 10.48550/arxiv.hep-th/9902069 · pith_short_12: NRKXLH5MXKCA · pith_short_16: NRKXLH5MXKCALIXM · pith_short_8: NRKXLH5M

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/NRKXLH5MXKCALIXMEAOW7QTYSJ \
  | 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: 6c55759facba8405a2ec201d6fc278925fcedad97970ecd457ece76accd9bc51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b957bde62cfdbc48e07af95eb672f3c9f319f557496bc6933be60a1a62b278e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-02-10T11:09:35Z",
    "title_canon_sha256": "0b6ed9fb099450da89d761b747d0a37c2ff07b720099dc075c4271a4ec27be8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9902069",
    "kind": "arxiv",
    "version": 1
  }
}