Pith Number

pith:CHCJJRW6

pith:2014:CHCJJRW6B6KXLK2GF6YLNUXU43

not attested not anchored not stored refs pending

Extremisers for the trace theorem on the sphere

Mitsuru Sugimoto, Neal Bez, Shuji Machihara

arxiv:1409.5847 v1 · 2014-09-20 · 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{CHCJJRW6B6KXLK2GF6YLNUXU43}

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	2026-05-18T02:42:15.835768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c494c6de0f9575ab462fb0b6d2f4e6ee448f3c50a51d398703a7f7bac4f64f

Aliases

arxiv: 1409.5847 · arxiv_version: 1409.5847v1 · doi: 10.48550/arxiv.1409.5847 · pith_short_12: CHCJJRW6B6KX · pith_short_16: CHCJJRW6B6KXLK2G · pith_short_8: CHCJJRW6

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/CHCJJRW6B6KXLK2GF6YLNUXU43 \
  | 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: 11c494c6de0f9575ab462fb0b6d2f4e6ee448f3c50a51d398703a7f7bac4f64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32df10d27deb80343529963cfb8c5e749229a26e371e551b8e917c9b08574d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-20T02:38:38Z",
    "title_canon_sha256": "499a35a0fc5d2916a141ef7dc4559efcb0805abdf523e9ba6be04ce7de1a583e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5847",
    "kind": "arxiv",
    "version": 1
  }
}