Pith Number

pith:6LVL43WN

pith:2021:6LVL43WNZPQDEAENG4XZHC5XFL

not attested not anchored not stored refs pending

Proca equation and vector field quantization in rotating system

Tian Xu, Yin Jiang

arxiv:2106.04851 v1 · 2021-06-09 · hep-th · hep-ph · nucl-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{6LVL43WNZPQDEAENG4XZHC5XFL}

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	2026-07-05T03:32:05.100160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2eabe6ecdcbe032008d372f938bb72afd29e073d3a4c330b0474f75fb67c86e

Aliases

arxiv: 2106.04851 · arxiv_version: 2106.04851v1 · doi: 10.48550/arxiv.2106.04851 · pith_short_12: 6LVL43WNZPQD · pith_short_16: 6LVL43WNZPQDEAEN · pith_short_8: 6LVL43WN

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/6LVL43WNZPQDEAENG4XZHC5XFL \
  | 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: f2eabe6ecdcbe032008d372f938bb72afd29e073d3a4c330b0474f75fb67c86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f592ae37a51df7ad5b970bc3344278f3a5249d989d30c1f74879f53ca299a3",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-09T07:17:31Z",
    "title_canon_sha256": "b585b4512a89e627266b54a39a58e15c00779607a3779bca6477a80fa6eb37bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.04851",
    "kind": "arxiv",
    "version": 1
  }
}