Pith Number

pith:TCDXXXGB

pith:2011:TCDXXXGBU7R5O4RK5MHW4G4NWK

not attested not anchored not stored refs pending

Particle with spin 1 in a magnetic field on the spherical plane S_{2}

E.M. Ovsiyuk, V.M. Red'kov, V.V. Kisel

arxiv:1109.3575 v1 · 2011-09-16 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCDXXXGBU7R5O4RK5MHW4G4NWK}

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	2026-05-18T04:12:55.926820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98877bdcc1a7e3d7722aeb0f6e1b8db29823727a120fae741e5c1d8d46daec5d

Aliases

arxiv: 1109.3575 · arxiv_version: 1109.3575v1 · doi: 10.48550/arxiv.1109.3575 · pith_short_12: TCDXXXGBU7R5 · pith_short_16: TCDXXXGBU7R5O4RK · pith_short_8: TCDXXXGB

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/TCDXXXGBU7R5O4RK5MHW4G4NWK \
  | 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: 98877bdcc1a7e3d7722aeb0f6e1b8db29823727a120fae741e5c1d8d46daec5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a85a68aa70aab90354d78bd1ec0e76158a18ce0dfc966a8731fe8db244d1fe",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-16T10:16:49Z",
    "title_canon_sha256": "24eaa05b5827af89392023a3f94b1b5f9145c9028b757e2823b040b03f23cf5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3575",
    "kind": "arxiv",
    "version": 1
  }
}