Pith Number

pith:5BHW3JXO

pith:2015:5BHW3JXO76UZVB2SP77MD4UJHH

not attested not anchored not stored refs pending

Relaxation Equations: Fractional Models

E. Capelas de Oliveira, Ester C. F. A. Rosa

arxiv:1510.01681 v1 · 2015-10-06 · 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{5BHW3JXO76UZVB2SP77MD4UJHH}

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	2026-05-18T01:30:56.277639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84f6da6eeffa99a87527ffec1f28939d2eab4bad3eaaaf0fcd5b4583857a923

Aliases

arxiv: 1510.01681 · arxiv_version: 1510.01681v1 · doi: 10.48550/arxiv.1510.01681 · pith_short_12: 5BHW3JXO76UZ · pith_short_16: 5BHW3JXO76UZVB2S · pith_short_8: 5BHW3JXO

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/5BHW3JXO76UZVB2SP77MD4UJHH \
  | 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: e84f6da6eeffa99a87527ffec1f28939d2eab4bad3eaaaf0fcd5b4583857a923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99bcdcaf000d3bc43c29dd7411afb99edb40f13d054a8d049c7ce38ffb05b25",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-06T18:03:20Z",
    "title_canon_sha256": "c87fc2c79374b1320adb56bda8371a0f637686db7b55ae73143a1dd812cdcc04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01681",
    "kind": "arxiv",
    "version": 1
  }
}