Pith Number

pith:YPUZIQLD

pith:2013:YPUZIQLDDWXGSF7EMIAQGJ3XBS

not attested not anchored not stored refs pending

Stochastic solutions of the wave equation

Sourav Chatterjee

arxiv:1306.2382 v1 · 2013-06-10 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPUZIQLDDWXGSF7EMIAQGJ3XBS}

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	2026-05-18T03:21:21.158541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e99441631dae6917e462010327770ca253e4ff206b0b83f01897f3bbf0649b

Aliases

arxiv: 1306.2382 · arxiv_version: 1306.2382v1 · doi: 10.48550/arxiv.1306.2382 · pith_short_12: YPUZIQLDDWXG · pith_short_16: YPUZIQLDDWXGSF7E · pith_short_8: YPUZIQLD

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/YPUZIQLDDWXGSF7EMIAQGJ3XBS \
  | 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: c3e99441631dae6917e462010327770ca253e4ff206b0b83f01897f3bbf0649b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f45d99e99bad04cd5f87826dd02e64e23163e8cb6a29a14a2db062cfab9a10d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-10T23:18:23Z",
    "title_canon_sha256": "b3f31a1019c27f3d27d31b05d34ed08275c6604034a8063b970bc702fff40960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2382",
    "kind": "arxiv",
    "version": 1
  }
}