Pith Number

pith:PAVZJLTM

pith:2005:PAVZJLTMK6YJW64JJRBR662I2Q

not attested not anchored not stored refs pending

Charge quantization conditions based on the Atiyah--Singer index theorem

Kaoru Kitsukawa, Shinichi Deguchi

arxiv:hep-th/0512063 v3 · 2005-12-06 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAVZJLTMK6YJW64JJRBR662I2Q}

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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

Schwinger's non-commutative coordinates and duality between helicity and Dirac quantisation conditions

Receipt and verification

First computed	2026-07-04T15:19:53.700347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782b94ae6c57b09b7b894c431f7b48d40d4705b2b35456081f733a037f630956

Aliases

arxiv: hep-th/0512063 · arxiv_version: hep-th/0512063v3 · doi: 10.48550/arxiv.hep-th/0512063 · pith_short_12: PAVZJLTMK6YJ · pith_short_16: PAVZJLTMK6YJW64J · pith_short_8: PAVZJLTM

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/PAVZJLTMK6YJW64JJRBR662I2Q \
  | 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: 782b94ae6c57b09b7b894c431f7b48d40d4705b2b35456081f733a037f630956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a5dd4e254a0e2ca902a88d678bcc902610f6e9a19d90bce9944db5402e34ea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-12-06T10:03:08Z",
    "title_canon_sha256": "abdc9253be4177dc0e4a3c5e6c2f40271c2ac9cb76b58d78d88390131dfb1a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0512063",
    "kind": "arxiv",
    "version": 3
  }
}