Pith Number

pith:D3MIL27Q

pith:2011:D3MIL27QTPKHQKXBLMLCU22KGQ

not attested not anchored not stored refs pending

Clarifications to Questions and Criticisms on the Johansen-Ledoit-Sornette Bubble Model

Didier Sornette, Ryan Woodard, Wanfeng Yan, Wei-Xing Zhou

arxiv:1107.3171 v3 · 2011-07-15 · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3MIL27QTPKHQKXBLMLCU22KGQ}

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	2026-05-18T03:14:07.085709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed885ebf09bd4782ae15b162a6b4a3433239c7630f9f210cc2cc23eafb4ebe6

Aliases

arxiv: 1107.3171 · arxiv_version: 1107.3171v3 · doi: 10.48550/arxiv.1107.3171 · pith_short_12: D3MIL27QTPKH · pith_short_16: D3MIL27QTPKHQKXB · pith_short_8: D3MIL27Q

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/D3MIL27QTPKHQKXBLMLCU22KGQ \
  | 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: 1ed885ebf09bd4782ae15b162a6b4a3433239c7630f9f210cc2cc23eafb4ebe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f2f024d279772e10727bb9eda115b1e19de7a57a38122cbd4dfc1176d6051c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2011-07-15T21:56:14Z",
    "title_canon_sha256": "14b08dd21b44581d1bcad420a22d13a4e0ccd6c7440b718bcdb48325bdbf90a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3171",
    "kind": "arxiv",
    "version": 3
  }
}