Pith Number

pith:ROZ5KDI4

pith:2000:ROZ5KDI4YI7QBENFYO7HOF5V7Y

not attested not anchored not stored refs pending

$CP^{1}$ model with Hopf interaction: the quantum theory

B. Chakraborty (Bose Centre, Calcutta), Calcutta) R. P. Malik (Bose Centre, Calcutta) Subir Ghosh (ISI

arxiv:hep-th/0008168 v4 · 2000-08-22 · 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{ROZ5KDI4YI7QBENFYO7HOF5V7Y}

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	2026-07-04T16:21:00.705942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb3d50d1cc23f0091a5c3be7717b5fe191297580d85860bb92e6f3a160f80da

Aliases

arxiv: hep-th/0008168 · arxiv_version: hep-th/0008168v4 · doi: 10.48550/arxiv.hep-th/0008168 · pith_short_12: ROZ5KDI4YI7Q · pith_short_16: ROZ5KDI4YI7QBENF · pith_short_8: ROZ5KDI4

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/ROZ5KDI4YI7QBENFYO7HOF5V7Y \
  | 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: 8bb3d50d1cc23f0091a5c3be7717b5fe191297580d85860bb92e6f3a160f80da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4cad76a6ecefcf0c0bae6c282e8a50affb48558ffda4da9a3870708b9684932",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-08-22T10:44:15Z",
    "title_canon_sha256": "ef086f0ccb8648d0667930277cd3d7652376d898b6936bcce0584b5d3cdad24f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0008168",
    "kind": "arxiv",
    "version": 4
  }
}