Pith Number

pith:BZ7VSXBK

pith:2008:BZ7VSXBKQSKZP524N226UC62WK

not attested not anchored not stored refs pending

How to compute the length of a geodesic on a Riemannian manifold with small error in arbitrary Sobolev norms

Joerg Kampen

arxiv:0811.1734 v1 · 2008-11-11 · 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{BZ7VSXBKQSKZP524N226UC62WK}

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	2026-06-03T23:06:08.702704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7f595c2a849597f75c6eb5ea0bdab2a47a7f4d2cb4284e420cbf2e02e5f140

Aliases

arxiv: 0811.1734 · arxiv_version: 0811.1734v1 · doi: 10.48550/arxiv.0811.1734 · pith_short_12: BZ7VSXBKQSKZ · pith_short_16: BZ7VSXBKQSKZP524 · pith_short_8: BZ7VSXBK

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/BZ7VSXBKQSKZP524N226UC62WK \
  | 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: 0e7f595c2a849597f75c6eb5ea0bdab2a47a7f4d2cb4284e420cbf2e02e5f140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfbaf491940ac0bd4417417d3aa8525cd64aa13968dba41d270f3330d64483c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-11-11T16:59:06Z",
    "title_canon_sha256": "4712b19475acabe30582194d95dfe5c14ce0c43f58f3a5aa18f2105f0cde398d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1734",
    "kind": "arxiv",
    "version": 1
  }
}