Pith Number

pith:5W4ISYYE

pith:2004:5W4ISYYEWIOFWWA6OD5ULCNFTY

not attested not anchored not stored refs pending

On Explicit Point Multi-Monopoles in SU(2) Gauge Theory

Alexander D. Popov

arxiv:hep-th/0412042 v1 · 2004-12-06 · 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{5W4ISYYEWIOFWWA6OD5ULCNFTY}

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	2026-07-04T16:49:06.853160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb8896304b21c5b581e70fb4589a59e3203e96dc81bc7f314d7305343fe651c

Aliases

arxiv: hep-th/0412042 · arxiv_version: hep-th/0412042v1 · doi: 10.48550/arxiv.hep-th/0412042 · pith_short_12: 5W4ISYYEWIOF · pith_short_16: 5W4ISYYEWIOFWWA6 · pith_short_8: 5W4ISYYE

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/5W4ISYYEWIOFWWA6OD5ULCNFTY \
  | 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: edb8896304b21c5b581e70fb4589a59e3203e96dc81bc7f314d7305343fe651c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdbcf9f2270485ae4a6681497be28d70899c57ce077385a0acd00161ab9b6a9b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-06T14:23:55Z",
    "title_canon_sha256": "8740810ec562491ecfc67fe16349bfe0e187be5c206abfd28c8c9346d7106337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412042",
    "kind": "arxiv",
    "version": 1
  }
}