Pith Number

pith:XJ5Y5UL2

pith:2009:XJ5Y5UL2WMAZ5X4E4JKBSSXNIS

not attested not anchored not stored refs pending

Computing Least Fixed Points of Probabilistic Systems of Polynomials

Andreas Gaiser, Javier Esparza, Stefan Kiefer

arxiv:0912.4226 v2 · 2009-12-21 · cs.DS · cs.NA · 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{XJ5Y5UL2WMAZ5X4E4JKBSSXNIS}

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	2026-06-03T23:06:31.885285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7b8ed17ab3019edf84e254194aed44bb0e5fbbe1bddd0519aa8e9d21415756

Aliases

arxiv: 0912.4226 · arxiv_version: 0912.4226v2 · doi: 10.48550/arxiv.0912.4226 · pith_short_12: XJ5Y5UL2WMAZ · pith_short_16: XJ5Y5UL2WMAZ5X4E · pith_short_8: XJ5Y5UL2

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/XJ5Y5UL2WMAZ5X4E4JKBSSXNIS \
  | 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: ba7b8ed17ab3019edf84e254194aed44bb0e5fbbe1bddd0519aa8e9d21415756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2faf3de0ffe354ab087b6663ac9891fb0c09bb5aac0c825bf4aef5bfaa20c3b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2009-12-21T19:14:12Z",
    "title_canon_sha256": "f42a64892c35d565f0599578897de6b77c0c6f5d3f10033211f6878078022f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4226",
    "kind": "arxiv",
    "version": 2
  }
}