Pith Number

pith:BEWUHUZF

pith:1998:BEWUHUZFJ7J54DJINC4SZ2OFWC

not attested not anchored not stored refs pending

A semiclassical approach to the Dirac equation

Jens Bolte, Stefan Keppeler

arxiv:quant-ph/9811025 v1 · 1998-11-12 · quant-ph · chao-dyn · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEWUHUZFJ7J54DJINC4SZ2OFWC}

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	2026-07-04T16:11:02.139632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092d43d3254fd3de0d2868b92ce9c5b0b6050fa433985d4b7fab6389182c510d

Aliases

arxiv: quant-ph/9811025 · arxiv_version: quant-ph/9811025v1 · doi: 10.48550/arxiv.quant-ph/9811025 · pith_short_12: BEWUHUZFJ7J5 · pith_short_16: BEWUHUZFJ7J54DJI · pith_short_8: BEWUHUZF

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/BEWUHUZFJ7J54DJINC4SZ2OFWC \
  | 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: 092d43d3254fd3de0d2868b92ce9c5b0b6050fa433985d4b7fab6389182c510d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48188fcf06f477f8355ead0f3836bf13111ba5285142ca639fdedc55b7e9e421",
    "cross_cats_sorted": [
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-11-12T13:22:23Z",
    "title_canon_sha256": "714eb10700a2b887f423cfefbde5aee26b27a7e0bd3fe3539d48917de4e5064b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9811025",
    "kind": "arxiv",
    "version": 1
  }
}