Pith Number

pith:ZTVBLQC4

pith:2016:ZTVBLQC43FMR4BWENMG3SZOV2G

not attested not anchored not stored refs pending

The weak coupling limit for the random Schr\"odinger equation: The average wave function

Lenya Ryzhik, Thomas Chen, Tomasz Komorowski

arxiv:1609.02623 v1 · 2016-09-09 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTVBLQC43FMR4BWENMG3SZOV2G}

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	2026-05-17T23:55:15.319325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccea15c05cd9591e06c46b0db965d5d1b2caf2dc4c1fc9b3390c8db1d6b1bcfc

Aliases

arxiv: 1609.02623 · arxiv_version: 1609.02623v1 · doi: 10.48550/arxiv.1609.02623 · pith_short_12: ZTVBLQC43FMR · pith_short_16: ZTVBLQC43FMR4BWE · pith_short_8: ZTVBLQC4

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/ZTVBLQC43FMR4BWENMG3SZOV2G \
  | 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: ccea15c05cd9591e06c46b0db965d5d1b2caf2dc4c1fc9b3390c8db1d6b1bcfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653d5d2e1ca4f7b40d344a743a4c2c76e38fcd77c46132c7ecbd37fe92f1ee1f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-09T00:14:00Z",
    "title_canon_sha256": "70d6e59e7737feb3d13db6f78c40312867129c5ab0e4ce29e90f4f24599abdc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02623",
    "kind": "arxiv",
    "version": 1
  }
}