Pith Number

pith:RPUMJPWW

pith:2012:RPUMJPWWYUFBQRR2J4EFRZLM4B

not attested not anchored not stored refs pending

Large deviations for a mean field model of systemic risk

George Papanicolaou, Josselin Garnier, Tzu-Wei Yang

arxiv:1204.3536 v2 · 2012-04-16 · q-fin.RM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPUMJPWWYUFBQRR2J4EFRZLM4B}

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	2026-05-18T03:46:47.241780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be8c4bed6c50a18463a4f0858e56ce051db9933ba0b632fdf05caa10def6930

Aliases

arxiv: 1204.3536 · arxiv_version: 1204.3536v2 · doi: 10.48550/arxiv.1204.3536 · pith_short_12: RPUMJPWWYUFB · pith_short_16: RPUMJPWWYUFBQRR2 · pith_short_8: RPUMJPWW

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/RPUMJPWWYUFBQRR2J4EFRZLM4B \
  | 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: 8be8c4bed6c50a18463a4f0858e56ce051db9933ba0b632fdf05caa10def6930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5632ef2c59520fa326dad4740f83e742f980d383d3e066e306c71651ea1da971",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2012-04-16T15:46:47Z",
    "title_canon_sha256": "4c879f4786ea46e34153852d96d7f15cc846a7626b292c084b2fce8ef438efca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3536",
    "kind": "arxiv",
    "version": 2
  }
}