Pith Number

pith:HJUJB4Q5

pith:2014:HJUJB4Q5OFYA3S5H72W2IAMCN5

not attested not anchored not stored refs pending

Dirac equation with complex potentials

C.-L. Ho, P. Roy

arxiv:1407.0161 v4 · 2014-07-01 · quant-ph · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJUJB4Q5OFYA3S5H72W2IAMCN5}

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	2026-05-18T01:42:43.114403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6890f21d71700dcba7feada401826f5bb2d59207b22e19f9ffe9e2ed7fa887

Aliases

arxiv: 1407.0161 · arxiv_version: 1407.0161v4 · doi: 10.48550/arxiv.1407.0161 · pith_short_12: HJUJB4Q5OFYA · pith_short_16: HJUJB4Q5OFYA3S5H · pith_short_8: HJUJB4Q5

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/HJUJB4Q5OFYA3S5H72W2IAMCN5 \
  | 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: 3a6890f21d71700dcba7feada401826f5bb2d59207b22e19f9ffe9e2ed7fa887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738991df28f92e2a0f0c152d42c869e9765180ca4e22a68e83661f34d6f34ccb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-01T09:40:28Z",
    "title_canon_sha256": "44d3a29c8747f15264083b93483f34076f1f9e201a1d3ffae171758f6d766f87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0161",
    "kind": "arxiv",
    "version": 4
  }
}