Pith Number

pith:5C3YYJZD

pith:2013:5C3YYJZDNS2IYZJZ5V6Q3WMWZM

not attested not anchored not stored refs pending

A quenched large deviation principle in a continuous scenario

Frank den Hollander, Matthias Birkner

arxiv:1312.2521 v1 · 2013-12-09 · 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{5C3YYJZDNS2IYZJZ5V6Q3WMWZM}

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	2026-05-18T03:05:10.091783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b78c27236cb48c6539ed7d0dd996cb088f307120306a29a2d76e40fd81ad9c

Aliases

arxiv: 1312.2521 · arxiv_version: 1312.2521v1 · doi: 10.48550/arxiv.1312.2521 · pith_short_12: 5C3YYJZDNS2I · pith_short_16: 5C3YYJZDNS2IYZJZ · pith_short_8: 5C3YYJZD

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/5C3YYJZDNS2IYZJZ5V6Q3WMWZM \
  | 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: e8b78c27236cb48c6539ed7d0dd996cb088f307120306a29a2d76e40fd81ad9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38522cfd31071ab45f59908f50cdeb3fc3709c38f82fdf2fc1df09cdc6f6c885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-09T17:31:52Z",
    "title_canon_sha256": "8f59e3c568e4e12a61c62d19bb54b6d31d4cf5fd3505bd963201b8b85236402c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2521",
    "kind": "arxiv",
    "version": 1
  }
}