Pith Number

pith:INEYL6UE

pith:2013:INEYL6UE3J7ZG7NPTD55YHKHBK

not attested not anchored not stored refs pending

Computational Methods in the Fractional Calculus of Variations and Optimal Control

Shakoor Pooseh

arxiv:1312.4064 v1 · 2013-12-14 · math.OC · math.CA · 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{INEYL6UE3J7ZG7NPTD55YHKHBK}

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	2026-05-18T03:04:35.950984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

434985fa84da7f937daf98fbdc1d470a9160f62c68047c9ff72f28ec64d4c7b5

Aliases

arxiv: 1312.4064 · arxiv_version: 1312.4064v1 · doi: 10.48550/arxiv.1312.4064 · pith_short_12: INEYL6UE3J7Z · pith_short_16: INEYL6UE3J7ZG7NP · pith_short_8: INEYL6UE

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/INEYL6UE3J7ZG7NPTD55YHKHBK \
  | 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: 434985fa84da7f937daf98fbdc1d470a9160f62c68047c9ff72f28ec64d4c7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec54fc0949f7b2705eb718d419f969e093e19a9fac1c3a484964f8da684b62ba",
    "cross_cats_sorted": [
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-14T16:50:40Z",
    "title_canon_sha256": "1c211a9e88ff70f236585db3198ae1b02fb8061f951cdb54346e6bed92d330c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4064",
    "kind": "arxiv",
    "version": 1
  }
}