Pith Number

pith:PEZFY3ZJ

pith:2009:PEZFY3ZJA53VRUG6J45CEXOO2L

not attested not anchored not stored refs pending

An iterative method for solving Fredholm integral equations of the first kind

A.G. Ramm, Sapto W. Indratno

arxiv:0911.3071 v2 · 2009-11-16 · math.NA · cs.NA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEZFY3ZJA53VRUG6J45CEXOO2L}

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	2026-06-03T23:06:30.755953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79325c6f29077758d0de4f3a225dced2e268d827bdab1223df94507b74d86213

Aliases

arxiv: 0911.3071 · arxiv_version: 0911.3071v2 · doi: 10.48550/arxiv.0911.3071 · pith_short_12: PEZFY3ZJA53V · pith_short_16: PEZFY3ZJA53VRUG6 · pith_short_8: PEZFY3ZJ

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/PEZFY3ZJA53VRUG6J45CEXOO2L \
  | 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: 79325c6f29077758d0de4f3a225dced2e268d827bdab1223df94507b74d86213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07537e6f7764450078fc8825082b3198c4a084a95b06b7553932fe3a9d74493b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-11-16T16:39:46Z",
    "title_canon_sha256": "415c2b8484d5c4954a9cdc0824e4341a24752f1720a1b4059ee7904e0aa83fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3071",
    "kind": "arxiv",
    "version": 2
  }
}