Pith Number

pith:BHCHBBRV

pith:2025:BHCHBBRV23LCNIOJZ63SHGJS26

not attested not anchored not stored refs pending

Continuous and Discrete Symmetries in a 4D Field-Theoretic Model: Symmetry Operators and Their Algebraic Structures

R. P. Malik

arxiv:2503.21680 v4 · 2025-03-27 · 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{BHCHBBRV23LCNIOJZ63SHGJS26}

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	2026-07-05T11:38:50.877967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c4708635d6d626a1c9cfb7239932d7847dae1346bb5da171d806d28b5968f5

Aliases

arxiv: 2503.21680 · arxiv_version: 2503.21680v4 · doi: 10.48550/arxiv.2503.21680 · pith_short_12: BHCHBBRV23LC · pith_short_16: BHCHBBRV23LCNIOJ · pith_short_8: BHCHBBRV

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/BHCHBBRV23LCNIOJZ63SHGJS26 \
  | 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: 09c4708635d6d626a1c9cfb7239932d7847dae1346bb5da171d806d28b5968f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ee6e6ebf90133c86e8cf6b51630bf209178df7b8b73cb7554cb25c28bfc3da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-03-27T16:49:23Z",
    "title_canon_sha256": "b931e21f6d05ec10fe8ab576cea95f67613a7f8bd5aacd242a6836960590b0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21680",
    "kind": "arxiv",
    "version": 4
  }
}