Pith Number

pith:4BYIMQSE

pith:2012:4BYIMQSEX2KU54BXZUSAGCVZBF

not attested not anchored not stored refs pending

Fractional variational calculus for non-differentiable functions, chapter

Agnieszka B. Malinowska

arxiv:1201.6640 v1 · 2012-01-31 · 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{4BYIMQSEX2KU54BXZUSAGCVZBF}

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	2026-05-18T04:03:29.977499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e070864244be954ef037cd24030ab90978b74161f87b447a798e40b9d968311c

Aliases

arxiv: 1201.6640 · arxiv_version: 1201.6640v1 · doi: 10.48550/arxiv.1201.6640 · pith_short_12: 4BYIMQSEX2KU · pith_short_16: 4BYIMQSEX2KU54BX · pith_short_8: 4BYIMQSE

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/4BYIMQSEX2KU54BXZUSAGCVZBF \
  | 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: e070864244be954ef037cd24030ab90978b74161f87b447a798e40b9d968311c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407c2623094bcd0e3f3097edd0eb31cb724805e94a55b22674af2cbf6503373a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-31T18:26:07Z",
    "title_canon_sha256": "77232bf886754dec6e6789ac41db51daaa787e220cda63dc5806fd2d239de211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6640",
    "kind": "arxiv",
    "version": 1
  }
}