Pith Number

pith:4X5TYGXB

pith:2018:4X5TYGXBWPTUBV3WVBG6RSPON6

not attested not anchored not stored refs pending

Geometric momentum and angular momentum for charge-monopole system

Q. H. Liu, S. F. Xiao

arxiv:1803.05509 v2 · 2018-03-15 · quant-ph · 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{4X5TYGXBWPTUBV3WVBG6RSPON6}

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	2026-05-17T23:47:40.119583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fb3c1ae1b3e740d776a84de8c9ee6faccfb05717117a56e7330b89ebf1be1a

Aliases

arxiv: 1803.05509 · arxiv_version: 1803.05509v2 · doi: 10.48550/arxiv.1803.05509 · pith_short_12: 4X5TYGXBWPTU · pith_short_16: 4X5TYGXBWPTUBV3W · pith_short_8: 4X5TYGXB

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/4X5TYGXBWPTUBV3WVBG6RSPON6 \
  | 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: e5fb3c1ae1b3e740d776a84de8c9ee6faccfb05717117a56e7330b89ebf1be1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2504ba467af35ee027fdbafa0bc22e12c3a09cb9ea221736d1aa2dc6b1b3b7d0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-03-15T00:29:16Z",
    "title_canon_sha256": "a3bd9ecb38936d9c0a4dcb62191dd89c472e34814983c3e077dd71de6d045436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05509",
    "kind": "arxiv",
    "version": 2
  }
}