Pith Number

pith:4MFTYOJI

pith:2012:4MFTYOJISRMAVC2WLNH5BO3LQM

not attested not anchored not stored refs pending

Fractional Calculus on Time Scales

Nuno R. O. Bastos

arxiv:1202.2960 v1 · 2012-02-14 · math.CA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MFTYOJISRMAVC2WLNH5BO3LQM}

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	2026-05-18T04:02:24.536777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30b3c392894580a8b565b4fd0bb6b8320ead5679cf802c9f7a18af9a9f15b9e

Aliases

arxiv: 1202.2960 · arxiv_version: 1202.2960v1 · doi: 10.48550/arxiv.1202.2960 · pith_short_12: 4MFTYOJISRMA · pith_short_16: 4MFTYOJISRMAVC2W · pith_short_8: 4MFTYOJI

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/4MFTYOJISRMAVC2WLNH5BO3LQM \
  | 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: e30b3c392894580a8b565b4fd0bb6b8320ead5679cf802c9f7a18af9a9f15b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7bb59f4764fefb7c88c5d23148a0d518e3c559ad51918d50c4e6f28985b3b7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-14T08:18:25Z",
    "title_canon_sha256": "ab1132d36401fa6050b5a6db8e47c41c07b0d2304f5e722e92a80072cf11a553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2960",
    "kind": "arxiv",
    "version": 1
  }
}