Pith Number

pith:GNJIJBNS

pith:2011:GNJIJBNSOY4S3UQRBOX6OESIHS

not attested not anchored not stored refs pending

Super-exponential endogenous bubbles in an equilibrium model of rational and noise traders

A. Saichev, D. Sornette, M. Leiss, T. Kaizoji

arxiv:1109.4726 v3 · 2011-09-22 · 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{GNJIJBNSOY4S3UQRBOX6OESIHS}

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	2026-05-18T02:56:45.229307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33528485b276392dd2110bafe712483cabea1b12920a3a732c1da64adfc8df66

Aliases

arxiv: 1109.4726 · arxiv_version: 1109.4726v3 · doi: 10.48550/arxiv.1109.4726 · pith_short_12: GNJIJBNSOY4S · pith_short_16: GNJIJBNSOY4S3UQR · pith_short_8: GNJIJBNS

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/GNJIJBNSOY4S3UQRBOX6OESIHS \
  | 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: 33528485b276392dd2110bafe712483cabea1b12920a3a732c1da64adfc8df66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef61a7f1af5d34cea6ac33f8a4edd802cb50402601063baf10915973d60ee0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2011-09-22T08:39:57Z",
    "title_canon_sha256": "e35a828de0956a463832c143875d27db70c86fa119649cda429d0f2cf1e0abdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4726",
    "kind": "arxiv",
    "version": 3
  }
}