Pith Number

pith:5ADE76CD

pith:2016:5ADE76CDOW6ZDX7VPYP3JJKHP5

not attested not anchored not stored refs pending

The complex dynamics of products and its asymptotic properties

Andrea Zaccaria, Luciano Pietronero, Matthieu Cristelli, Orazio Angelini

arxiv:1610.00274 v2 · 2016-10-02 · 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{5ADE76CDOW6ZDX7VPYP3JJKHP5}

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	2026-05-18T00:43:43.424988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55

Aliases

arxiv: 1610.00274 · arxiv_version: 1610.00274v2 · doi: 10.48550/arxiv.1610.00274 · pith_short_12: 5ADE76CDOW6Z · pith_short_16: 5ADE76CDOW6ZDX7V · pith_short_8: 5ADE76CD

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/5ADE76CDOW6ZDX7VPYP3JJKHP5 \
  | 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: e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f79e689e89ebba94f8b90172085bbc579d9a8366fd92f36612b81ace435c35c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2016-10-02T13:01:22Z",
    "title_canon_sha256": "8b4026aef63a6f58aca452bf06d70a572e60ce8f938e91aa7ff63b495c1837e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00274",
    "kind": "arxiv",
    "version": 2
  }
}