Pith Number

pith:GROTBI7D

pith:2012:GROTBI7DCDPFGFKL3CP2GJMMHJ

not attested not anchored not stored refs pending

Spherical Functions Associated With the Three Dimensional Sphere

Ignacio Zurri\'an, In\'es Pacharoni, Juan Tirao

arxiv:1203.4275 v2 · 2012-03-19 · math.CA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GROTBI7DCDPFGFKL3CP2GJMMHJ}

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	2026-05-18T01:16:33.699865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345d30a3e310de53154bd89fa3258c3a4d31d065d41ac5d5f3892cf5decec8e4

Aliases

arxiv: 1203.4275 · arxiv_version: 1203.4275v2 · doi: 10.48550/arxiv.1203.4275 · pith_short_12: GROTBI7DCDPF · pith_short_16: GROTBI7DCDPFGFKL · pith_short_8: GROTBI7D

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/GROTBI7DCDPFGFKL3CP2GJMMHJ \
  | 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: 345d30a3e310de53154bd89fa3258c3a4d31d065d41ac5d5f3892cf5decec8e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6a2b5f9d10e0635f4bd520841b25260226f338449e9c3204b13fd51d4ad28e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-19T21:52:47Z",
    "title_canon_sha256": "757978f24de6f04315d6bba4c79d04331e3acdb7f5294b8f559b7dfe8991826f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4275",
    "kind": "arxiv",
    "version": 2
  }
}