Pith Number

pith:U332ZRZQ

pith:2005:U332ZRZQ2KKY7QKHIGXQKVAFZH

not attested not anchored not stored refs pending

Vector Manifestation and the Hidden Local Symmetry

Masayasu Harada

arxiv:hep-ph/0509319 v1 · 2005-09-28 · 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{U332ZRZQ2KKY7QKHIGXQKVAFZH}

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	2026-05-18T01:06:10.379469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f7acc730d2958fc14741af055405c9c39b7b4b4c46e10d071dff0a9fcc712e

Aliases

arxiv: hep-ph/0509319 · arxiv_version: hep-ph/0509319v1 · doi: 10.48550/arxiv.hep-ph/0509319 · pith_short_12: U332ZRZQ2KKY · pith_short_16: U332ZRZQ2KKY7QKH · pith_short_8: U332ZRZQ

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/U332ZRZQ2KKY7QKHIGXQKVAFZH \
  | 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: a6f7acc730d2958fc14741af055405c9c39b7b4b4c46e10d071dff0a9fcc712e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b0384253536e0c86c52a4b159e0ed8f1311323f3e9ec7c93cb3552ef587e13",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-09-28T09:35:35Z",
    "title_canon_sha256": "8ede17a6a682b15ef45ba1f01bdb2479d0f9f0c8c611421a56728a2c6c6afb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0509319",
    "kind": "arxiv",
    "version": 1
  }
}