Pith Number

pith:XWVYZXCV

pith:2002:XWVYZXCVQGO4B4JESDHDESYKUE

not attested not anchored not stored refs pending

Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant

E. T. Tomboulis, Per Kraus

arxiv:hep-th/0203221 v1 · 2002-03-25 · 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{XWVYZXCVQGO4B4JESDHDESYKUE}

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.

Cited by

1 paper in Pith

Overlapping resonance branches of a gauge-invariant Lorentz-violating massive vector

Receipt and verification

First computed	2026-07-04T16:34:42.159528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdab8cdc55819dc0f12490ce324b0aa13377ad07cbeab13f36dd4a3db3bab4ab

Aliases

arxiv: hep-th/0203221 · arxiv_version: hep-th/0203221v1 · doi: 10.48550/arxiv.hep-th/0203221 · pith_short_12: XWVYZXCVQGO4 · pith_short_16: XWVYZXCVQGO4B4JE · pith_short_8: XWVYZXCV

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/XWVYZXCVQGO4B4JESDHDESYKUE \
  | 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: bdab8cdc55819dc0f12490ce324b0aa13377ad07cbeab13f36dd4a3db3bab4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ff62cbba3423d780eb27c4f7ee2492952ca5b2cce0ca02128368724cdceef4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-03-25T00:54:17Z",
    "title_canon_sha256": "311d060d050c542600e18d765869740d9758d92797bd12ab79a052dfaefadfbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0203221",
    "kind": "arxiv",
    "version": 1
  }
}