Pith Number

pith:GRBOCIJU

pith:2014:GRBOCIJULWWQA2S4GNUBG4Y6ZZ

not attested not anchored not stored refs pending

A new realization of rational functions, with applications to linear combination interpolation

Daniel Alpay, Dan Volok, Izchak Lewkowicz, Palle Jorgensen

arxiv:1408.4404 v2 · 2014-08-19 · 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{GRBOCIJULWWQA2S4GNUBG4Y6ZZ}

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	2026-05-18T02:19:36.080983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3442e121345dad006a5c336813731ece6c185c1a5a282081600f9c47d8c9a7ab

Aliases

arxiv: 1408.4404 · arxiv_version: 1408.4404v2 · doi: 10.48550/arxiv.1408.4404 · pith_short_12: GRBOCIJULWWQ · pith_short_16: GRBOCIJULWWQA2S4 · pith_short_8: GRBOCIJU

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/GRBOCIJULWWQA2S4GNUBG4Y6ZZ \
  | 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: 3442e121345dad006a5c336813731ece6c185c1a5a282081600f9c47d8c9a7ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e5527805b398f4c08f66564e3e24deb8d5b77ca10173098cbb1c7a9cb26c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-19T17:28:24Z",
    "title_canon_sha256": "576addda6391ae8e21730d2cfce288a71341d468426b831843f827f39b6afd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4404",
    "kind": "arxiv",
    "version": 2
  }
}