Pith Number

pith:F7AM2MKM

pith:2010:F7AM2MKMJI2PCFC4GITG6PDMZY

not attested not anchored not stored refs pending

Discrete Variational Calculus for B-spline Approximated Curves

Elizabeth Mansfield, Jun Zhao

arxiv:1006.1282 v2 · 2010-06-01 · cs.NA · cs.CG · 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{F7AM2MKMJI2PCFC4GITG6PDMZY}

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	2026-05-18T04:02:12.141419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc0cd314c4a34f1145c32266f3c6cce31cca74288e2eb387577f6435baadd67

Aliases

arxiv: 1006.1282 · arxiv_version: 1006.1282v2 · doi: 10.48550/arxiv.1006.1282 · pith_short_12: F7AM2MKMJI2P · pith_short_16: F7AM2MKMJI2PCFC4 · pith_short_8: F7AM2MKM

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/F7AM2MKMJI2PCFC4GITG6PDMZY \
  | 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: 2fc0cd314c4a34f1145c32266f3c6cce31cca74288e2eb387577f6435baadd67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc740a42ba1cfc3d76e72df154d0c1f035cc28d9db41f1222836723b88bca7a9",
    "cross_cats_sorted": [
      "cs.CG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2010-06-01T22:14:15Z",
    "title_canon_sha256": "e6b16fe12ce0c39b1adf0574bb5ef3e57d71de4d050798190fc4eb8814435246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1282",
    "kind": "arxiv",
    "version": 2
  }
}