Pith Number

pith:4QGBHOUE

pith:2004:4QGBHOUELFYU3I7GKUQ7NWBOFS

not attested not anchored not stored refs pending

Gravitating Monopole--Antimonopole Chains and Vortex Rings

Burkhard Kleihaus, Jutta Kunz, Yasha Shnir

arxiv:gr-qc/0411106 v1 · 2004-11-22 · gr-qc · 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{4QGBHOUELFYU3I7GKUQ7NWBOFS}

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	2026-07-04T16:47:56.693988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40c13ba8459714da3e65521f6d82e2ca10c00c6aedb55fa7509c477c5f80838

Aliases

arxiv: gr-qc/0411106 · arxiv_version: gr-qc/0411106v1 · doi: 10.48550/arxiv.gr-qc/0411106 · pith_short_12: 4QGBHOUELFYU · pith_short_16: 4QGBHOUELFYU3I7G · pith_short_8: 4QGBHOUE

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/4QGBHOUELFYU3I7GKUQ7NWBOFS \
  | 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: e40c13ba8459714da3e65521f6d82e2ca10c00c6aedb55fa7509c477c5f80838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5cbb189ccbee5412385c3da5fbdc068ba160ee1a33e22004bab68d51df68f8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-11-22T16:13:07Z",
    "title_canon_sha256": "969528141ed9da129242ee3d1d843117efae8aa27a7421bee7e362c31ce0bf1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0411106",
    "kind": "arxiv",
    "version": 1
  }
}