Pith Number

pith:TJFANGRM

pith:2013:TJFANGRMAKFTP52C7R4PUZ525M

not attested not anchored not stored refs pending

A stochastic model for speculative bubbles

Fabien Panloup, Laurent Miclo, S\'ebastien Gadat

arxiv:1309.6287 v1 · 2013-09-22 · math.PR · math.ST · q-fin.GN · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJFANGRMAKFTP52C7R4PUZ525M}

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	2026-05-18T03:12:23.204179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4a069a2c028b37f742fc78fa67baeb0a1a3468cb7424d58417348efe641ec5

Aliases

arxiv: 1309.6287 · arxiv_version: 1309.6287v1 · doi: 10.48550/arxiv.1309.6287 · pith_short_12: TJFANGRMAKFT · pith_short_16: TJFANGRMAKFTP52C · pith_short_8: TJFANGRM

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/TJFANGRMAKFTP52C7R4PUZ525M \
  | 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: 9a4a069a2c028b37f742fc78fa67baeb0a1a3468cb7424d58417348efe641ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "286ef46052ada749e23789ed305173e8ad27f436cdc610e753e871c76c7313e3",
    "cross_cats_sorted": [
      "math.ST",
      "q-fin.GN",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-22T08:32:44Z",
    "title_canon_sha256": "1d5e244934d4be39120bc4e6dae9a694788191b63a2cbeac82eca7ed75c7915b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6287",
    "kind": "arxiv",
    "version": 1
  }
}