Pith Number

pith:KH2FXZYK

pith:2015:KH2FXZYKJXT7KHURUXEAFWDEXS

not attested not anchored not stored refs pending

Dynamical system theory of periodically collapsing bubbles

D. Sornette, E.P. Yukalova, V.I. Yukalov

arxiv:1507.05311 v1 · 2015-07-19 · q-fin.GN · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KH2FXZYKJXT7KHURUXEAFWDEXS}

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	2026-05-18T01:36:37.217368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f45be70a4de7f51e91a5c802d864bc9921a592dc50b9e1ceb6c8eb88b2a43c

Aliases

arxiv: 1507.05311 · arxiv_version: 1507.05311v1 · doi: 10.48550/arxiv.1507.05311 · pith_short_12: KH2FXZYKJXT7 · pith_short_16: KH2FXZYKJXT7KHUR · pith_short_8: KH2FXZYK

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/KH2FXZYKJXT7KHURUXEAFWDEXS \
  | 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: 51f45be70a4de7f51e91a5c802d864bc9921a592dc50b9e1ceb6c8eb88b2a43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3dfb2f9adbe911f809dbea1bde69eb8ed2881dd139bc927d3d8f5f60c7f34a6",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2015-07-19T17:44:31Z",
    "title_canon_sha256": "bab5ed81b1e14701013d38e97374a9bc311ff80e2321e8b6f49cf225331000a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05311",
    "kind": "arxiv",
    "version": 1
  }
}