Pith Number

pith:2J7J2GY7

pith:2011:2J7J2GY75IUF52EM7EQWD4DHY4

not attested not anchored not stored refs pending

Numerical Solution of the Time-Dependent Dirac Equation in Coordinate Space without Fermion-Doubling

Andre D. Bandrauk, Emmanuel Lorin, Francois Fillion-Gourdeau

arxiv:1107.4650 v2 · 2011-07-23 · physics.comp-ph · 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{2J7J2GY75IUF52EM7EQWD4DHY4}

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	2026-05-18T03:44:33.944206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d27e9d1b1fea285ee88cf92161f067c70c213b6904dee46b409c6badb6b5df03

Aliases

arxiv: 1107.4650 · arxiv_version: 1107.4650v2 · doi: 10.48550/arxiv.1107.4650 · pith_short_12: 2J7J2GY75IUF · pith_short_16: 2J7J2GY75IUF52EM · pith_short_8: 2J7J2GY7

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/2J7J2GY75IUF52EM7EQWD4DHY4 \
  | 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: d27e9d1b1fea285ee88cf92161f067c70c213b6904dee46b409c6badb6b5df03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec7fbb97a46afe25cf69b348fef80f3e4df57b8b86c855226c4a5622ad611d8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2011-07-23T02:41:56Z",
    "title_canon_sha256": "e6d5e3e09b96cbe21cd4b63a66703b8c9f4900861d26ce9e9f499738b54889d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4650",
    "kind": "arxiv",
    "version": 2
  }
}