Pith Number

pith:BSAGXJC7

pith:2019:BSAGXJC7JK4TKHBZPLYTCRSGEC

not attested not anchored not stored refs pending

On a sampling expansion with partial derivatives for functions of several variables

Saulius Norvidas

arxiv:1908.07351 v1 · 2019-08-16 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSAGXJC7JK4TKHBZPLYTCRSGEC}

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	2026-07-05T01:33:17.496085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c806ba45f4ab9351c397af131464620bb1fddb21c6442459325c1dc87c0a0a1

Aliases

arxiv: 1908.07351 · arxiv_version: 1908.07351v1 · doi: 10.48550/arxiv.1908.07351 · pith_short_12: BSAGXJC7JK4T · pith_short_16: BSAGXJC7JK4TKHBZ · pith_short_8: BSAGXJC7

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/BSAGXJC7JK4TKHBZPLYTCRSGEC \
  | 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: 0c806ba45f4ab9351c397af131464620bb1fddb21c6442459325c1dc87c0a0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fce8f9d6ef74629dd71bcdfa08d393efb5e0d60ef8668a083a9850be576cf67",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-16T18:03:45Z",
    "title_canon_sha256": "c52702aac93ffbcbd921fa6a0a0fec81ecbf5fe9a2fe4d82d81faf74420a3f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07351",
    "kind": "arxiv",
    "version": 1
  }
}