Pith Number

pith:W6GNMGHQ

pith:2001:W6GNMGHQZWPUQJSDMYAYLKYOY3

not attested not anchored not stored refs pending

Quantum mechanics of Dirac particle beam optics: Single-particle theory

Chennai, India), R. Jaganathan (The Institute of Mathematical Sciences

arxiv:physics/0101060 v1 · 2001-01-15 · physics.acc-ph · hep-th · math-ph · 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{W6GNMGHQZWPUQJSDMYAYLKYOY3}

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	2026-05-18T00:36:52.581484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78cd618f0cd9f482643660185ab0ec6e0f954334c5c55231f7ee3ffe283661a

Aliases

arxiv: physics/0101060 · arxiv_version: physics/0101060v1 · doi: 10.48550/arxiv.physics/0101060 · pith_short_12: W6GNMGHQZWPU · pith_short_16: W6GNMGHQZWPUQJSD · pith_short_8: W6GNMGHQ

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/W6GNMGHQZWPUQJSDMYAYLKYOY3 \
  | 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: b78cd618f0cd9f482643660185ab0ec6e0f954334c5c55231f7ee3ffe283661a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f694baa930c50e41eee142794ed287b0d263fa9382b514d34d998bd7fe1f736",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "physics.acc-ph",
    "submitted_at": "2001-01-15T09:52:28Z",
    "title_canon_sha256": "b88bbac86df8bb5a546c3c6218cdabe28ed4a0e43d34bc551aff09302d34135a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0101060",
    "kind": "arxiv",
    "version": 1
  }
}