Pith Number

pith:3GGERMLD

pith:2015:3GGERMLDIYABHO36I4WWIQJOQS

not attested not anchored not stored refs pending

Introduction to the techniques of the fractional calculus to investigate some models of the mathematical physics (in Portuguese)

Edmundo C. Oliveira, Fabio G. Rodrigues

arxiv:1508.03582 v2 · 2015-08-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GGERMLDIYABHO36I4WWIQJOQS}

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	2026-05-18T01:33:41.821906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98c48b163460013bb7e472d64412e84bb72415905f72dce56d5e04041352e6d

Aliases

arxiv: 1508.03582 · arxiv_version: 1508.03582v2 · doi: 10.48550/arxiv.1508.03582 · pith_short_12: 3GGERMLDIYAB · pith_short_16: 3GGERMLDIYABHO36 · pith_short_8: 3GGERMLD

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/3GGERMLDIYABHO36I4WWIQJOQS \
  | 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: d98c48b163460013bb7e472d64412e84bb72415905f72dce56d5e04041352e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09bf083eb2d705b931a1b08280305adb52a5d5937c54970bc02cb6ccd38a97a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-14T18:01:12Z",
    "title_canon_sha256": "d60a5d1198543d19f61b892d80a4924853e4d19af5951e39daca4019a632b672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03582",
    "kind": "arxiv",
    "version": 2
  }
}