Pith Number

pith:2WNCI43V

pith:2013:2WNCI43VDMA5UDWTUXSJVNAFKU

not attested not anchored not stored refs pending

A Short Remark on the Polaron in the Semi-relativistic Pauli-Fierz Model

Itaru Sasaki

arxiv:1304.0051 v1 · 2013-03-30 · 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{2WNCI43VDMA5UDWTUXSJVNAFKU}

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	2026-05-18T03:29:26.205746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59a2473751b01da0ed3a5e49ab4055530e5d5526b54854f126e59cd5e11d107

Aliases

arxiv: 1304.0051 · arxiv_version: 1304.0051v1 · doi: 10.48550/arxiv.1304.0051 · pith_short_12: 2WNCI43VDMA5 · pith_short_16: 2WNCI43VDMA5UDWT · pith_short_8: 2WNCI43V

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/2WNCI43VDMA5UDWTUXSJVNAFKU \
  | 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: d59a2473751b01da0ed3a5e49ab4055530e5d5526b54854f126e59cd5e11d107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d17486d8a2e344a54ebbc8433dbcf9046a7fb0625d0aaa4f44c9cd6dc60f6a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-30T00:26:29Z",
    "title_canon_sha256": "2d70502e965e9a28a9a3b6fbea6449014a75d233fe146c1a323dbb0dd068c4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0051",
    "kind": "arxiv",
    "version": 1
  }
}