Pith Number

pith:JEDAHFHK

pith:2011:JEDAHFHKIRLY4KXPUZ3NNJUDZ4

not attested not anchored not stored refs pending

Fractional $h$-difference equations arising from the calculus of variations

Delfim F. M. Torres, Rui A. C. Ferreira

arxiv:1101.5904 v1 · 2011-01-31 · 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{JEDAHFHKIRLY4KXPUZ3NNJUDZ4}

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	2026-05-18T04:26:46.636939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49060394ea44578e2aefa676d6a683cf151a79d636f4c655b82c428b79cf572e

Aliases

arxiv: 1101.5904 · arxiv_version: 1101.5904v1 · doi: 10.48550/arxiv.1101.5904 · pith_short_12: JEDAHFHKIRLY · pith_short_16: JEDAHFHKIRLY4KXP · pith_short_8: JEDAHFHK

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/JEDAHFHKIRLY4KXPUZ3NNJUDZ4 \
  | 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: 49060394ea44578e2aefa676d6a683cf151a79d636f4c655b82c428b79cf572e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0b73105e53fcc4074d2c28bbc512b456514a947ca99713c13f78f26a18221a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-31T10:46:31Z",
    "title_canon_sha256": "741464d40de78d559bbdbba320871bb7c62d787ea35d2c51a3074608245e24f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5904",
    "kind": "arxiv",
    "version": 1
  }
}