Pith Number

pith:5WH4TJYN

pith:2012:5WH4TJYNWBU2INZBIMCAEOMXZP

not attested not anchored not stored refs pending

Approximation on the complex sphere

Alexander Kushpel, Huda Alsaud, Jeremy Levesley

arxiv:1204.6155 v1 · 2012-04-27 · 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{5WH4TJYNWBU2INZBIMCAEOMXZP}

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	2026-05-18T02:18:01.972102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8fc9a70db069a437214304023997cbe9a0118033a1179476dc6a22b8bb34c8

Aliases

arxiv: 1204.6155 · arxiv_version: 1204.6155v1 · doi: 10.48550/arxiv.1204.6155 · pith_short_12: 5WH4TJYNWBU2 · pith_short_16: 5WH4TJYNWBU2INZB · pith_short_8: 5WH4TJYN

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/5WH4TJYNWBU2INZBIMCAEOMXZP \
  | 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: ed8fc9a70db069a437214304023997cbe9a0118033a1179476dc6a22b8bb34c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f724e7012e1a9bec7e3c93413f18522afb075d4ef63eeb00f1af0f62f77401c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-27T09:24:12Z",
    "title_canon_sha256": "e90ca11dbd39c0e93e1d727d2a3beac74098e0d7fdfad4c80de4d9754e2a34a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6155",
    "kind": "arxiv",
    "version": 1
  }
}