Pith Number

pith:HKXSWFSV

pith:2011:HKXSWFSVW3TDESXY66TNUGMD7N

not attested not anchored not stored refs pending

Rarita-Schwinger Type Operators on Spheres and Real Projective Space

Carmen J. Vanegas, John Ryan, Junxia Li

arxiv:1106.1943 v2 · 2011-06-10 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKXSWFSVW3TDESXY66TNUGMD7N}

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	2026-05-18T03:41:56.615983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aaf2b1655b6e6324af8f7a6da1983fb4610d8d10391642f903d3379ccbcfac3

Aliases

arxiv: 1106.1943 · arxiv_version: 1106.1943v2 · doi: 10.48550/arxiv.1106.1943 · pith_short_12: HKXSWFSVW3TD · pith_short_16: HKXSWFSVW3TDESXY · pith_short_8: HKXSWFSV

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/HKXSWFSVW3TDESXY66TNUGMD7N \
  | 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: 3aaf2b1655b6e6324af8f7a6da1983fb4610d8d10391642f903d3379ccbcfac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9d544694f1f8a5850961d66c498dafa9f93f23187853a9da6a4a5cd3104c88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-10T02:55:45Z",
    "title_canon_sha256": "440faee7b767452c81606d036e2b18a7dd798581a6e7eb2a30263752dec51efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1943",
    "kind": "arxiv",
    "version": 2
  }
}