Pith Number

pith:BO6CAECO

pith:2006:BO6CAECOGAYPKDCN7FKZIEQ6SB

not attested not anchored not stored refs pending

Spectrum of the Jacobi tau approximation for the second derivative operator

Fabian Waleffe, Marios Charalambides

arxiv:math/0607640 v1 · 2006-07-25 · 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{BO6CAECOGAYPKDCN7FKZIEQ6SB}

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	2026-06-03T22:06:20.214917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbc20104e3030f50c4df95594121e905bd6c87c6df928bff8a8c635532a181c

Aliases

arxiv: math/0607640 · arxiv_version: math/0607640v1 · doi: 10.48550/arxiv.math/0607640 · pith_short_12: BO6CAECOGAYP · pith_short_16: BO6CAECOGAYPKDCN · pith_short_8: BO6CAECO

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/BO6CAECOGAYPKDCN7FKZIEQ6SB \
  | 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: 0bbc20104e3030f50c4df95594121e905bd6c87c6df928bff8a8c635532a181c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5d776f2bba2490cc9801c38138e5aa6e350841045eba8a54faec94a177256d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-07-25T19:32:36Z",
    "title_canon_sha256": "e0933a9bbe20c0a20b9a014d2eababcd03bfbba84d40761ca96ff0e3e8ec82fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607640",
    "kind": "arxiv",
    "version": 1
  }
}