Pith Number

pith:CZ6F2R3N

pith:2014:CZ6F2R3NGQZ3UBPCLSSBC4736E

not attested not anchored not stored refs pending

An extension of Herglotz's theorem to the quaternions

D. Alpay, D.P. Kimsey, F. Colombo, I. Sabadini

arxiv:1403.0079 v2 · 2014-03-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ6F2R3NGQZ3UBPCLSSBC4736E}

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	2026-05-18T02:47:05.419998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167c5d476d3433ba05e25ca41173fbf1001bafa6db7306ddea356a5d79466ded

Aliases

arxiv: 1403.0079 · arxiv_version: 1403.0079v2 · doi: 10.48550/arxiv.1403.0079 · pith_short_12: CZ6F2R3NGQZ3 · pith_short_16: CZ6F2R3NGQZ3UBPC · pith_short_8: CZ6F2R3N

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/CZ6F2R3NGQZ3UBPCLSSBC4736E \
  | 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: 167c5d476d3433ba05e25ca41173fbf1001bafa6db7306ddea356a5d79466ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec552ee29ffdc70d6dce47af219881f9d17802da63506ac022e8046da009ff75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-01T12:47:51Z",
    "title_canon_sha256": "c26e6cab31806a9aed4d866c2e777db1aec3e395cdaf52d5ee0607e60278f7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0079",
    "kind": "arxiv",
    "version": 2
  }
}