Pith Number

pith:TBK2NNBM

pith:2017:TBK2NNBMKUFRPVEFDTWVL6HOV5

not attested not anchored not stored refs pending

On derivations with respect to finite sets of smooth functions

Rich\'ard Gr\"unwald, Zsolt P\'ales

arxiv:1712.02171 v1 · 2017-12-06 · 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{TBK2NNBMKUFRPVEFDTWVL6HOV5}

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	2026-05-17T23:47:36.328294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9855a6b42c550b17d4851ced55f8eeaf4c0894bb864c472d3ea06e1efee96cef

Aliases

arxiv: 1712.02171 · arxiv_version: 1712.02171v1 · doi: 10.48550/arxiv.1712.02171 · pith_short_12: TBK2NNBMKUFR · pith_short_16: TBK2NNBMKUFRPVEF · pith_short_8: TBK2NNBM

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/TBK2NNBMKUFRPVEFDTWVL6HOV5 \
  | 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: 9855a6b42c550b17d4851ced55f8eeaf4c0894bb864c472d3ea06e1efee96cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5aa7434cd2ec2a164e9450cb423de9930ac396fee2c3a1e4e570c5296d88ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-06T13:05:58Z",
    "title_canon_sha256": "bb98a1eac19120126b046281ebd05da8bffc78d65578b8968171f06b5f739174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02171",
    "kind": "arxiv",
    "version": 1
  }
}