Pith Number

pith:FNWYH3J5

pith:2016:FNWYH3J5NPCERRTXGE4FWJAH2A

not attested not anchored not stored refs pending

Refined comparison theorems for the Dirac equation with spin and pseudo--spin symmetry in $d$ dimensions

Petr Zorin, Richard L. Hall

arxiv:1601.04022 v1 · 2016-01-15 · 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{FNWYH3J5NPCERRTXGE4FWJAH2A}

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	2026-05-18T01:17:07.550279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6d83ed3d6bc448c67731385b2407d0258139b138d221278283d7335e1ef2da

Aliases

arxiv: 1601.04022 · arxiv_version: 1601.04022v1 · doi: 10.48550/arxiv.1601.04022 · pith_short_12: FNWYH3J5NPCE · pith_short_16: FNWYH3J5NPCERRTX · pith_short_8: FNWYH3J5

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/FNWYH3J5NPCERRTXGE4FWJAH2A \
  | 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: 2b6d83ed3d6bc448c67731385b2407d0258139b138d221278283d7335e1ef2da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a77af70db1644cb1ddf7459876a872268a27384dc4088ff27ac43460e9fb3e5",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-15T18:05:57Z",
    "title_canon_sha256": "23e9434ea9c3f8e73a77efcbf709d162c2dca3f0993da89933df67794609afb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04022",
    "kind": "arxiv",
    "version": 1
  }
}