Pith Number

pith:NHN33AH3

pith:2007:NHN33AH3FHF5NMXVCV42U62I77

not attested not anchored not stored refs pending

A Nearly Scale Invariant Spectrum of Gravitational Radiation from Global Phase Transitions

Harsh Mathur (Case Western Reserve University), Katherine Jones-Smith, Lawrence M. Krauss

arxiv:0712.0778 v2 · 2007-12-05 · astro-ph · gr-qc · hep-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{NHN33AH3FHF5NMXVCV42U62I77}

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	2026-07-04T15:23:47.914236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69dbbd80fb29cbd6b2f51579aa7b48fffd36abe149aa807ba4b1594bc1fcc803

Aliases

arxiv: 0712.0778 · arxiv_version: 0712.0778v2 · doi: 10.48550/arxiv.0712.0778 · pith_short_12: NHN33AH3FHF5 · pith_short_16: NHN33AH3FHF5NMXV · pith_short_8: NHN33AH3

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/NHN33AH3FHF5NMXVCV42U62I77 \
  | 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: 69dbbd80fb29cbd6b2f51579aa7b48fffd36abe149aa807ba4b1594bc1fcc803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44944589048499b12bbff9a065c86c8afe6c36165c96cd084aec8ce43d0821a9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-12-05T16:53:41Z",
    "title_canon_sha256": "0f1742d47550e9c7aa2a2b9d720ab35482c6e0e6178bee4d6a1b8c0557425fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0778",
    "kind": "arxiv",
    "version": 2
  }
}