Pith Number

pith:N3OB7HMR

pith:2016:N3OB7HMROVTTP7S3C4QLI5J357

not attested not anchored not stored refs pending

Fractional Dynamics of Natural Growth and Memory Effect in Economics

Valentina V. Tarasova, Vasily E. Tarasov

arxiv:1612.09060 v2 · 2016-12-29 · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3OB7HMROVTTP7S3C4QLI5J357}

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	2026-05-18T00:53:04.724334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6edc1f9d91756737fe5b1720b4753befc357582e42bcf3f7856f12eff952f6c7

Aliases

arxiv: 1612.09060 · arxiv_version: 1612.09060v2 · doi: 10.48550/arxiv.1612.09060 · pith_short_12: N3OB7HMROVTT · pith_short_16: N3OB7HMROVTTP7S3 · pith_short_8: N3OB7HMR

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/N3OB7HMROVTTP7S3C4QLI5J357 \
  | 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: 6edc1f9d91756737fe5b1720b4753befc357582e42bcf3f7856f12eff952f6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebbe54a02d1bb394981b05991bb4b1cf9596e19ec8973dba96f9872327c18975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2016-12-29T07:48:04Z",
    "title_canon_sha256": "b5645ff04ac0659e91ca44b4923312e93c2a8242d6e9fc20e6b4ada0097d2bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09060",
    "kind": "arxiv",
    "version": 2
  }
}