Pith Number

pith:4WAHCNYD

pith:2018:4WAHCNYDLZ24BXHTAYLZNCZQEY

not attested not anchored not stored refs pending

From nonholonomic quantum constraint to canonical variables of photons I: true intrinsic degree of freedom

Chun-Fang Li, Yun-Long Zhang

arxiv:1803.06515 v1 · 2018-03-17 · quant-ph · math.RT · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WAHCNYDLZ24BXHTAYLZNCZQEY}

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	2026-05-18T00:20:45.700670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5807137035e75c0dcf30617968b302602a6c3168fb8dd8c3aaa3eede000e4f9

Aliases

arxiv: 1803.06515 · arxiv_version: 1803.06515v1 · doi: 10.48550/arxiv.1803.06515 · pith_short_12: 4WAHCNYDLZ24 · pith_short_16: 4WAHCNYDLZ24BXHT · pith_short_8: 4WAHCNYD

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/4WAHCNYDLZ24BXHTAYLZNCZQEY \
  | 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: e5807137035e75c0dcf30617968b302602a6c3168fb8dd8c3aaa3eede000e4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a061f0b2be43db3c7a183910109f56fe21068c238c5a6427684eedaedd0839f3",
    "cross_cats_sorted": [
      "math.RT",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-03-17T14:36:30Z",
    "title_canon_sha256": "149a43a10d050126593e877334384c8b874db3f24eedb0a14ba732b5be349e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06515",
    "kind": "arxiv",
    "version": 1
  }
}