Pith Number

pith:5KPPYZJL

pith:2005:5KPPYZJLFMVRTKBJD7YO66DT3P

not attested not anchored not stored refs pending

Approximate Approximations from scattered data

F. Lanzara, G. Schmidt, V. Maz'ya

arxiv:math/0508241 v1 · 2005-08-14 · math.NA · cs.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{5KPPYZJLFMVRTKBJD7YO66DT3P}

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	2026-06-03T22:06:17.428860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9efc652b2b2b19a8291ff0ef7873dbc7986957b927531217d385e7521c9110

Aliases

arxiv: math/0508241 · arxiv_version: math/0508241v1 · doi: 10.48550/arxiv.math/0508241 · pith_short_12: 5KPPYZJLFMVR · pith_short_16: 5KPPYZJLFMVRTKBJ · pith_short_8: 5KPPYZJL

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/5KPPYZJLFMVRTKBJD7YO66DT3P \
  | 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: ea9efc652b2b2b19a8291ff0ef7873dbc7986957b927531217d385e7521c9110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3d5f21344d555da7a9ee48b5005067958e9d394451d8826b8f25a25c492f3e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-08-14T16:49:54Z",
    "title_canon_sha256": "192290358782cdc49c54cd605585c9b47975b3e5789f3f1b4e105186e15127a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508241",
    "kind": "arxiv",
    "version": 1
  }
}