Pith Number

pith:SXLHVUBE

pith:2016:SXLHVUBERC2H5R6DB3RPNBFJEI

not attested not anchored not stored refs pending

Long and Short Memory in Economics: Fractional-Order Difference and Differentiation

Valentina V. Tarasova, Vasily E. Tarasov

arxiv:1612.07903 v3 · 2016-12-23 · q-fin.EC · q-fin.MF · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXLHVUBERC2H5R6DB3RPNBFJEI}

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	2026-05-18T00:38:36.159178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95d67ad02488b47ec7c30ee2f684a92208351d3e5ae43b2108f49efa6f9451c4

Aliases

arxiv: 1612.07903 · arxiv_version: 1612.07903v3 · doi: 10.48550/arxiv.1612.07903 · pith_short_12: SXLHVUBERC2H · pith_short_16: SXLHVUBERC2H5R6D · pith_short_8: SXLHVUBE

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/SXLHVUBERC2H5R6DB3RPNBFJEI \
  | 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: 95d67ad02488b47ec7c30ee2f684a92208351d3e5ae43b2108f49efa6f9451c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321a2d7516df1c8f86e2672322a4646204826a38386dac47f7fd8a2ef3c34e94",
    "cross_cats_sorted": [
      "q-fin.MF",
      "q-fin.ST"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2016-12-23T08:37:05Z",
    "title_canon_sha256": "7e5b3831637ce0ae8b5539257a2f4378c73631b52f13df10bd71416d574f9234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07903",
    "kind": "arxiv",
    "version": 3
  }
}