Pith Number

pith:ARFEG44O

pith:2012:ARFEG44O4UDBZ4ZLYKEYCJETSR

not attested not anchored not stored refs pending

Spherical Functions: The Spheres Vs. The Projective Spaces

Ignacio Nahuel Zurri\'an, Juan Alfredo Tirao

arxiv:1207.0024 v1 · 2012-06-29 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARFEG44O4UDBZ4ZLYKEYCJETSR}

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	2026-05-18T02:48:53.313371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

044a43738ee5061cf32bc289812493947a6fc52ed43bef6b1df1a1b3d0e9dba2

Aliases

arxiv: 1207.0024 · arxiv_version: 1207.0024v1 · doi: 10.48550/arxiv.1207.0024 · pith_short_12: ARFEG44O4UDB · pith_short_16: ARFEG44O4UDBZ4ZL · pith_short_8: ARFEG44O

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/ARFEG44O4UDBZ4ZLYKEYCJETSR \
  | 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: 044a43738ee5061cf32bc289812493947a6fc52ed43bef6b1df1a1b3d0e9dba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522d6ec71c4207522d1ce1e1ec08b26df3b474c3000699ec6b214d02dbfb01a4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-06-29T22:07:44Z",
    "title_canon_sha256": "a86b8bcac82938d0791bc7c798e95ff45b4ccba10f0adae373ed56a5ff805672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0024",
    "kind": "arxiv",
    "version": 1
  }
}