Pith Number

pith:XBGAD32C

pith:2010:XBGAD32CGN2WOGZWI3LFVDE4U6

not attested not anchored not stored refs pending

Differentiation by integration with Jacobi polynomials

Da-Yan Liu (LAGIS, INRIA Lille - Nord Europe), L2MA), Olivier Gibaru (INRIA Lille - Nord Europe, Wilfrid Perruquetti (LAGIS

arxiv:1012.5483 v2 · 2010-12-25 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBGAD32CGN2WOGZWI3LFVDE4U6}

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	2026-05-18T04:27:27.887034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84c01ef423375671b3646d65a8c9ca7947732eab8ae4effa92a5f8df02bb09b

Aliases

arxiv: 1012.5483 · arxiv_version: 1012.5483v2 · doi: 10.48550/arxiv.1012.5483 · pith_short_12: XBGAD32CGN2W · pith_short_16: XBGAD32CGN2WOGZW · pith_short_8: XBGAD32C

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/XBGAD32CGN2WOGZWI3LFVDE4U6 \
  | 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: b84c01ef423375671b3646d65a8c9ca7947732eab8ae4effa92a5f8df02bb09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff2ab7d41029723266bd386da8be00518304c3c36d52b665113faabb8361a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-12-25T16:39:44Z",
    "title_canon_sha256": "aa3005f8f85212462872f8adbd8c47171619760f67ee8fa2229377289f95710a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5483",
    "kind": "arxiv",
    "version": 2
  }
}