Pith Number

pith:VXTHLY3M

pith:2012:VXTHLY3ME72LXDEUQAEQ22TFZ2

not attested not anchored not stored refs pending

An analytic description of the damping of gravitational waves by free streaming neutrinos

Ben A. Stefanek, Wayne W. Repko

arxiv:1207.7285 v4 · 2012-07-31 · hep-ph · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXTHLY3ME72LXDEUQAEQ22TFZ2}

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	2026-05-18T03:07:32.033747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade675e36c27f4bb8c9480090d6a65cebaf5321dc4d58dd3482790dcb83366fc

Aliases

arxiv: 1207.7285 · arxiv_version: 1207.7285v4 · doi: 10.48550/arxiv.1207.7285 · pith_short_12: VXTHLY3ME72L · pith_short_16: VXTHLY3ME72LXDEU · pith_short_8: VXTHLY3M

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/VXTHLY3ME72LXDEUQAEQ22TFZ2 \
  | 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: ade675e36c27f4bb8c9480090d6a65cebaf5321dc4d58dd3482790dcb83366fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069d95b8888a1cc84f16f4d90d7253f2b384d74b513677a240b4cbecc635004a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-07-31T15:21:22Z",
    "title_canon_sha256": "a6dfede90d60ebd48f5c17400ea3e0c379ec4a46a7ef4561139b996b84867a06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7285",
    "kind": "arxiv",
    "version": 4
  }
}