Pith Number

pith:DOHSXH3D

pith:2011:DOHSXH3DL5A5G6MDMTO2YQBV5M

not attested not anchored not stored refs pending

High-energy asymptotic expansion of the Green function for one-dimensional Fokker-Planck and Schr\"odinger equations

Toru Miyazawa

arxiv:1112.5835 v1 · 2011-12-26 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOHSXH3DL5A5G6MDMTO2YQBV5M}

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	2026-05-18T04:05:37.493518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8f2b9f635f41d3798364ddac4035eb180f22f8ae64cd78645bc933192f8eab

Aliases

arxiv: 1112.5835 · arxiv_version: 1112.5835v1 · doi: 10.48550/arxiv.1112.5835 · pith_short_12: DOHSXH3DL5A5 · pith_short_16: DOHSXH3DL5A5G6MD · pith_short_8: DOHSXH3D

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/DOHSXH3DL5A5G6MDMTO2YQBV5M \
  | 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: 1b8f2b9f635f41d3798364ddac4035eb180f22f8ae64cd78645bc933192f8eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb81f9fdf83fe139df25ec13be328786e428e52801ef81aa22863bd99c0e46c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-26T10:27:58Z",
    "title_canon_sha256": "61cca409b798b841848479612f8d39181d6d0c918691e6e2d88d1dc839710b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5835",
    "kind": "arxiv",
    "version": 1
  }
}