Pith Number

pith:ETL4KXKS

pith:2013:ETL4KXKSB3ARFTMHSTYHQL43PT

not attested not anchored not stored refs pending

On the convergence to a statistical equilibrium for the wave equations coupled to a particle

T.V. Dudnikova

arxiv:1302.2756 v2 · 2013-02-12 · math-ph · 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{ETL4KXKSB3ARFTMHSTYHQL43PT}

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	2026-05-18T00:34:00.677625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d7c55d520ec112cd8794f0782f9b7cc2500fd6e6fe7dd4083b6d5eccb7ea7a

Aliases

arxiv: 1302.2756 · arxiv_version: 1302.2756v2 · doi: 10.48550/arxiv.1302.2756 · pith_short_12: ETL4KXKSB3AR · pith_short_16: ETL4KXKSB3ARFTMH · pith_short_8: ETL4KXKS

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/ETL4KXKSB3ARFTMHSTYHQL43PT \
  | 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: 24d7c55d520ec112cd8794f0782f9b7cc2500fd6e6fe7dd4083b6d5eccb7ea7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4dbd86e6632d7b67db8d5cc9f500cbc490d5c97d68be40e3530a9966860b41",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-12T10:56:16Z",
    "title_canon_sha256": "b0781650900372fd19cc53aafdad0c45c3fe06e74e87840fe205f23a993ecd98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2756",
    "kind": "arxiv",
    "version": 2
  }
}