Pith Number

pith:RD4RG2T3

pith:2013:RD4RG2T3PV74E2UR4CUNBV2E57

not attested not anchored not stored refs pending

Fractional gradient and its application to the fractional advection equation

M. D'Ovidio, R. Garra

arxiv:1305.4400 v1 · 2013-05-19 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RD4RG2T3PV74E2UR4CUNBV2E57}

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	2026-05-18T03:25:23.823083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88f9136a7b7d7fc26a91e0a8d0d744efdb946239babbb4e4036e7e8acf1b84f8

Aliases

arxiv: 1305.4400 · arxiv_version: 1305.4400v1 · doi: 10.48550/arxiv.1305.4400 · pith_short_12: RD4RG2T3PV74 · pith_short_16: RD4RG2T3PV74E2UR · pith_short_8: RD4RG2T3

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/RD4RG2T3PV74E2UR4CUNBV2E57 \
  | 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: 88f9136a7b7d7fc26a91e0a8d0d744efdb946239babbb4e4036e7e8acf1b84f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d72ab0f843b405c6053bd47e37bcbec37dcb28963d8a01bc8c7238b7520904f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-19T19:10:17Z",
    "title_canon_sha256": "e8acf8ad45765302f524c9891f858713d6ff87701b25c8e451eba319761273c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4400",
    "kind": "arxiv",
    "version": 1
  }
}