Pith Number

pith:BP4RNQVI

pith:2016:BP4RNQVITNQIMDBKFMN3TZJGU6

not attested not anchored not stored refs pending

Approximate derivations of order $n$

Eszter Gselmann

arxiv:1612.01365 v1 · 2016-11-30 · math.CA · 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{BP4RNQVITNQIMDBKFMN3TZJGU6}

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	2026-05-18T00:55:52.845199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf916c2a89b60860c2a2b1bb9e526a7a9d4a46d89ce70533087ce8610ae4a4e

Aliases

arxiv: 1612.01365 · arxiv_version: 1612.01365v1 · doi: 10.48550/arxiv.1612.01365 · pith_short_12: BP4RNQVITNQI · pith_short_16: BP4RNQVITNQIMDBK · pith_short_8: BP4RNQVI

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/BP4RNQVITNQIMDBKFMN3TZJGU6 \
  | 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: 0bf916c2a89b60860c2a2b1bb9e526a7a9d4a46d89ce70533087ce8610ae4a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bed06e3b4512823bdbfbacc72797c1d56ce2dc9479e401654e2dd5a3a871954b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-30T11:48:49Z",
    "title_canon_sha256": "8338df071e82e5c39af3298fbdba83b8b0eabc6c91578d2596f196451a2bdf04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01365",
    "kind": "arxiv",
    "version": 1
  }
}