Pith Number

pith:SYEN4K6M

pith:2014:SYEN4K6MATGE7HICR7H75GUZQH

not attested not anchored not stored refs pending

On Fractional Eulerian Numbers and Equivalence of Maps with Long Term Power-Law Memory (Integral Volterra Equations of the Second Kind) to Gr$\ddot{u}$nvald-Letnikov Fractional Difference (Differential) Equations

Mark Edelman

arxiv:1410.6864 v3 · 2014-10-25 · nlin.CD · 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{SYEN4K6MATGE7HICR7H75GUZQH}

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	2026-05-18T00:11:32.890588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9608de2bcc04cc4f9d028fcffe9a9981d4ccd3ffb107909f9dd94057f48730c9

Aliases

arxiv: 1410.6864 · arxiv_version: 1410.6864v3 · doi: 10.48550/arxiv.1410.6864 · pith_short_12: SYEN4K6MATGE · pith_short_16: SYEN4K6MATGE7HIC · pith_short_8: SYEN4K6M

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/SYEN4K6MATGE7HICR7H75GUZQH \
  | 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: 9608de2bcc04cc4f9d028fcffe9a9981d4ccd3ffb107909f9dd94057f48730c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe10508efac7c1f8b5357e9111a745865f59ef4d287ea35698d95e087a9b496",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2014-10-25T01:23:43Z",
    "title_canon_sha256": "3fa2996532c3bbccf15dc796a9eb21b5c0ed370ec73ccce721baad8906b492ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6864",
    "kind": "arxiv",
    "version": 3
  }
}