Pith Number

pith:R4LGG5J7

pith:2026:R4LGG5J72JSSSBWCMBFUUYIIX4

not attested not anchored not stored refs pending

On operator product expansion in the spin-orbit coupled bosonic system

Rajesh Kumar Gupta, Siddhant Tiwari

arxiv:2606.19290 v1 · 2026-06-17 · cond-mat.quant-gas · 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{R4LGG5J72JSSSBWCMBFUUYIIX4}

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	2026-06-19T16:12:09.820896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1663753fd2652906c2604b4a6108bf01d22d43427628183d64c933345826a3

Aliases

arxiv: 2606.19290 · arxiv_version: 2606.19290v1 · doi: 10.48550/arxiv.2606.19290 · pith_short_12: R4LGG5J72JSS · pith_short_16: R4LGG5J72JSSSBWC · pith_short_8: R4LGG5J7

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/R4LGG5J72JSSSBWCMBFUUYIIX4 \
  | 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: 8f1663753fd2652906c2604b4a6108bf01d22d43427628183d64c933345826a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ce9839e52f4c2b67a39252add00f6a90da3271440609099c4d54eb837a59e9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-06-17T17:11:23Z",
    "title_canon_sha256": "ba462dc1f1773068c9cd965d46ea5dc82f6b3231d3353cfa5afeab4fa7cfb398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19290",
    "kind": "arxiv",
    "version": 1
  }
}