Pith Number

pith:TSZK7ZUJ

pith:2025:TSZK7ZUJDWGJO4UKHKDCUZJI6D

not attested not anchored not stored refs pending

Unified equation for massless spin fields and new definitions of key spin coefficients

Zhong-Heng Li

arxiv:2504.02592 v4 · 2025-04-03 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSZK7ZUJDWGJO4UKHKDCUZJI6D}

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	2026-07-03T00:16:49.557168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb2afe6891d8c97728a3a862a6528f0f93733cbcad9bc61747b5ae1eee3477e

Aliases

arxiv: 2504.02592 · arxiv_version: 2504.02592v4 · doi: 10.48550/arxiv.2504.02592 · pith_short_12: TSZK7ZUJDWGJ · pith_short_16: TSZK7ZUJDWGJO4UK · pith_short_8: TSZK7ZUJ

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/TSZK7ZUJDWGJO4UKHKDCUZJI6D \
  | 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: 9cb2afe6891d8c97728a3a862a6528f0f93733cbcad9bc61747b5ae1eee3477e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7e6ca082cc639c2d8065a7624c8f00fdc773ffdae8ff6e3fa5d415fa0ef9d2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-04-03T13:55:24Z",
    "title_canon_sha256": "7569529cc6cebd17f7878d92159da637f6fc1f3ae60384c3129b3bb38d631b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.02592",
    "kind": "arxiv",
    "version": 4
  }
}