Pith Number

pith:X3VS33UZ

pith:2012:X3VS33UZXNRNAJ7JJK3PUDNYVD

not attested not anchored not stored refs pending

Detailed analysis of prolate quadratures and interpolation formulas

Andrei Osipov, Vladimir Rokhlin

arxiv:1208.4816 v1 · 2012-08-23 · math.NA · 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{X3VS33UZXNRNAJ7JJK3PUDNYVD}

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	2026-05-18T03:48:12.614380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeb2dee99bb62d027e94ab6fa0db8a8f49ca6e99dd01192f22961b4495f22cc

Aliases

arxiv: 1208.4816 · arxiv_version: 1208.4816v1 · doi: 10.48550/arxiv.1208.4816 · pith_short_12: X3VS33UZXNRN · pith_short_16: X3VS33UZXNRNAJ7J · pith_short_8: X3VS33UZ

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/X3VS33UZXNRNAJ7JJK3PUDNYVD \
  | 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: beeb2dee99bb62d027e94ab6fa0db8a8f49ca6e99dd01192f22961b4495f22cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70e2a121b2f73f3b361f397a0c285429b6d306dcfcf11c41361c038715483e2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-23T17:59:14Z",
    "title_canon_sha256": "b0689edc6d959a7d7d67f3614d007132d93906dba4c347084063529df762ad9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4816",
    "kind": "arxiv",
    "version": 1
  }
}