Pith Number

pith:TIQ4KG5U

pith:2005:TIQ4KG5UKHGHZHUCZVFYB3APF7

not attested not anchored not stored refs pending

Phantom damping of matter perturbations

Luca Amendola, M. Sami, Shinji Tsujikawa

arxiv:astro-ph/0506222 v1 · 2005-06-09 · 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{TIQ4KG5UKHGHZHUCZVFYB3APF7}

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	2026-07-04T16:52:31.731621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a21c51bb451cc7c9e82cd4b80ec0f2fec5b05911d0491072569146fa6dc854e

Aliases

arxiv: astro-ph/0506222 · arxiv_version: astro-ph/0506222v1 · doi: 10.48550/arxiv.astro-ph/0506222 · pith_short_12: TIQ4KG5UKHGH · pith_short_16: TIQ4KG5UKHGHZHUC · pith_short_8: TIQ4KG5U

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/TIQ4KG5UKHGHZHUCZVFYB3APF7 \
  | 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: 9a21c51bb451cc7c9e82cd4b80ec0f2fec5b05911d0491072569146fa6dc854e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ddca4cdc9b62e0331015c144a373d7e1463a25188728d827e43771e84a2a85",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-06-09T22:47:31Z",
    "title_canon_sha256": "6101695f3dee5aefc1fb3749dd8349ca2472fa20095dbf67474b9befc5f2d91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0506222",
    "kind": "arxiv",
    "version": 1
  }
}