Pith Number

pith:J55BM3FD

pith:2011:J55BM3FDEETEVCGBMPMNDU4DUF

not attested not anchored not stored refs pending

Continued fraction solution of Krein's inverse problem

Yves Tourigny

arxiv:1101.2989 v2 · 2011-01-15 · math.SP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J55BM3FDEETEVCGBMPMNDU4DUF}

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	2026-05-18T02:03:39.661787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7a166ca321264a88c163d8d1d383a1721f87e4832b5f728fa688f5f65e080f

Aliases

arxiv: 1101.2989 · arxiv_version: 1101.2989v2 · doi: 10.48550/arxiv.1101.2989 · pith_short_12: J55BM3FDEETE · pith_short_16: J55BM3FDEETEVCGB · pith_short_8: J55BM3FD

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/J55BM3FDEETEVCGBMPMNDU4DUF \
  | 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: 4f7a166ca321264a88c163d8d1d383a1721f87e4832b5f728fa688f5f65e080f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2920512da7ed927928bf8a2070b813b34a0a514facc8fa46a2bd74c13008f13c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-01-15T14:22:19Z",
    "title_canon_sha256": "6b7dfe1b2b77f3d9c57bf5924b27f840cb420e9289f811f2c955878f10716cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2989",
    "kind": "arxiv",
    "version": 2
  }
}