Pith Number

pith:ATKYDCJU

pith:2017:ATKYDCJU55GRNOVTUB6IXUVXIQ

not attested not anchored not stored refs pending

An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type

Nicholas Hale

arxiv:1712.00304 v1 · 2017-12-01 · 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{ATKYDCJU55GRNOVTUB6IXUVXIQ}

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	2026-05-18T00:29:06.590153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d5818934ef4d16bab3a07c8bd2b7441fabad6f91c3de84138c584a3e7bf3eb

Aliases

arxiv: 1712.00304 · arxiv_version: 1712.00304v1 · doi: 10.48550/arxiv.1712.00304 · pith_short_12: ATKYDCJU55GR · pith_short_16: ATKYDCJU55GRNOVT · pith_short_8: ATKYDCJU

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/ATKYDCJU55GRNOVTUB6IXUVXIQ \
  | 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: 04d5818934ef4d16bab3a07c8bd2b7441fabad6f91c3de84138c584a3e7bf3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb012bbec8b3018f98d12dc72025fa2edf39572d7cc758970d080930359f474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-01T13:17:22Z",
    "title_canon_sha256": "30de145e8cc51a6c79d8207148152119609cac9acd474b6de0e81f6ea25427d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00304",
    "kind": "arxiv",
    "version": 1
  }
}