Pith Number

pith:TSZHQHTR

pith:2012:TSZHQHTR6GQVADR22GSHFIGDLU

not attested not anchored not stored refs pending

Existence of Minimizers for Fractional Variational Problems Containing Caputo Derivatives

Delfim F. M. Torres, Lo\"ic Bourdin, Tatiana Odzijewicz

arxiv:1208.2363 v1 · 2012-08-11 · 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{TSZHQHTR6GQVADR22GSHFIGDLU}

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	2026-05-18T03:37:41.032632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb2781e71f1a1500e3ad1a472a0c35d12b32c13c03479583941c24c1ff8d7c2

Aliases

arxiv: 1208.2363 · arxiv_version: 1208.2363v1 · doi: 10.48550/arxiv.1208.2363 · pith_short_12: TSZHQHTR6GQV · pith_short_16: TSZHQHTR6GQVADR2 · pith_short_8: TSZHQHTR

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/TSZHQHTR6GQVADR22GSHFIGDLU \
  | 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: 9cb2781e71f1a1500e3ad1a472a0c35d12b32c13c03479583941c24c1ff8d7c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3664068a7860750a8e5fa280402050b04ba459d1a1ac2ec41188f814f078dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-11T15:57:44Z",
    "title_canon_sha256": "dffb8509164c4d9300b00ccb1beea3152ed9136c66c7f55c1dadabc378fcfce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2363",
    "kind": "arxiv",
    "version": 1
  }
}