Pith Number

pith:CSP7QKYF

pith:2015:CSP7QKYFL6U7KA5W4VAOHNC72S

not attested not anchored not stored refs pending

Quintessence and phantom emerging from the split-complex field and the split-quaternion field

Changjun Gao, Xuelei Chen, You-Gen Shen

arxiv:1501.03220 v5 · 2015-01-14 · gr-qc · astro-ph.CO · 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{CSP7QKYFL6U7KA5W4VAOHNC72S}

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	2026-05-18T01:23:38.576657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149ff82b055fa9f503b6e540e3b45fd48398e2ac4a2ef95b586948906a3945ce

Aliases

arxiv: 1501.03220 · arxiv_version: 1501.03220v5 · doi: 10.48550/arxiv.1501.03220 · pith_short_12: CSP7QKYFL6U7 · pith_short_16: CSP7QKYFL6U7KA5W · pith_short_8: CSP7QKYF

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/CSP7QKYFL6U7KA5W4VAOHNC72S \
  | 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: 149ff82b055fa9f503b6e540e3b45fd48398e2ac4a2ef95b586948906a3945ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d02d7f9b1bf5043f386ff31754c74628198b633a81a4f69523e6c33e7260aa",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-14T00:34:46Z",
    "title_canon_sha256": "d5836dafba82b05d2e4f5e2b54cfb51065ae3026f106be1a711703b64d4f7025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03220",
    "kind": "arxiv",
    "version": 5
  }
}