Pith Number

pith:4KVMJKQB

pith:2015:4KVMJKQB3RMQUCUIPZUFDG6W3Z

not attested not anchored not stored refs pending

Dirac equation and the Melvin Metric

Celso C. Barros Jr, Luis C. Nunes dos Santos

arxiv:1508.07307 v2 · 2015-08-28 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KVMJKQB3RMQUCUIPZUFDG6W3Z}

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.

Cited by

1 paper in Pith

Landau levels in a gravitational field: The Schwarzschild spacetime case

Receipt and verification

First computed	2026-05-18T00:52:23.862640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2aac4aa01dc590a0a887e68519bd6de443fd9831b47192fcb2356f0c4e3a7ef

Aliases

arxiv: 1508.07307 · arxiv_version: 1508.07307v2 · doi: 10.48550/arxiv.1508.07307 · pith_short_12: 4KVMJKQB3RMQ · pith_short_16: 4KVMJKQB3RMQUCUI · pith_short_8: 4KVMJKQB

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/4KVMJKQB3RMQUCUIPZUFDG6W3Z \
  | 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: e2aac4aa01dc590a0a887e68519bd6de443fd9831b47192fcb2356f0c4e3a7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b81535aa0b32ee36ebbd26bd498852675671f0ed89ae09e9e228113c0a6589a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-08-28T18:48:01Z",
    "title_canon_sha256": "3c12c0383ed984540fef07cc25f9ce686628be2b5bda3d086068202b92dc1a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07307",
    "kind": "arxiv",
    "version": 2
  }
}