Pith Number

pith:BBQ7YZ43

pith:2013:BBQ7YZ436N6B7TFMOB7VDNOTHE

not attested not anchored not stored refs pending

Exponential quadrature rules for linear fractional differential equations

Marina Popolizio, Roberto Garrappa

arxiv:1311.1388 v1 · 2013-11-06 · 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{BBQ7YZ436N6B7TFMOB7VDNOTHE}

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	2026-05-18T02:20:47.695201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0861fc679bf37c1fccac707f51b5d339055d83a972e6a94d93a3a3a909bdc8b6

Aliases

arxiv: 1311.1388 · arxiv_version: 1311.1388v1 · doi: 10.48550/arxiv.1311.1388 · pith_short_12: BBQ7YZ436N6B · pith_short_16: BBQ7YZ436N6B7TFM · pith_short_8: BBQ7YZ43

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/BBQ7YZ436N6B7TFMOB7VDNOTHE \
  | 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: 0861fc679bf37c1fccac707f51b5d339055d83a972e6a94d93a3a3a909bdc8b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb5df4b279adad8577db7e10c3ea77477a2096150649841e4c3ebdc5d357f29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-06T13:36:44Z",
    "title_canon_sha256": "01c10e8ba3792f0d8ccc66cc5906b55fbedef40b83f5b9e1b9741fa7cda16325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1388",
    "kind": "arxiv",
    "version": 1
  }
}