Pith Number

pith:FBKHYPNO

pith:2017:FBKHYPNOUH4BTRBSET3VPJUU4G

not attested not anchored not stored refs pending

The repeated midpoint rule for weakly singular Volterra integral equations of the first kind with perturbed data

Robert Plato

arxiv:1709.03142 v1 · 2017-09-10 · 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{FBKHYPNOUH4BTRBSET3VPJUU4G}

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	2026-05-18T00:35:39.234087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28547c3daea1f819c43224f757a694e191f72e256d7c15cd97cc50d923650494

Aliases

arxiv: 1709.03142 · arxiv_version: 1709.03142v1 · doi: 10.48550/arxiv.1709.03142 · pith_short_12: FBKHYPNOUH4B · pith_short_16: FBKHYPNOUH4BTRBS · pith_short_8: FBKHYPNO

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/FBKHYPNOUH4BTRBSET3VPJUU4G \
  | 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: 28547c3daea1f819c43224f757a694e191f72e256d7c15cd97cc50d923650494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbea577dec83d089ab1df909dce80d61e70bcc516617f60193f89bf8b711b759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-10T17:15:54Z",
    "title_canon_sha256": "3a9e240557d7d18a1f4c7f1259a363273f1f11e8bf7f8e8f0fc0fcf77a651b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03142",
    "kind": "arxiv",
    "version": 1
  }
}