Pith Number

pith:Z6SI7PFR

pith:2006:Z6SI7PFR46QOYJVY35CJDX2XCV

not attested not anchored not stored refs pending

Broken Scale Invariance and Quintessence (a quarter of a century ago)

G. Venturi

arxiv:gr-qc/0612132 v1 · 2006-12-21 · gr-qc · astro-ph · 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{Z6SI7PFR46QOYJVY35CJDX2XCV}

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	2026-07-04T14:58:18.449003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa48fbcb1e7a0ec26b8df4491df5715461ac8127543f29ab1483960ec68555b

Aliases

arxiv: gr-qc/0612132 · arxiv_version: gr-qc/0612132v1 · doi: 10.48550/arxiv.gr-qc/0612132 · pith_short_12: Z6SI7PFR46QO · pith_short_16: Z6SI7PFR46QOYJVY · pith_short_8: Z6SI7PFR

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/Z6SI7PFR46QOYJVY35CJDX2XCV \
  | 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: cfa48fbcb1e7a0ec26b8df4491df5715461ac8127543f29ab1483960ec68555b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b69ddf566ca2d9c4e2947ce5cd76f64f1c82f63ad7266b90ae5a0dacaa9998",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-21T11:06:57Z",
    "title_canon_sha256": "b0eee12dee0f06971af75c199d31e4145aa0fedfa488362f7518250e8048ddd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612132",
    "kind": "arxiv",
    "version": 1
  }
}