Pith Number

pith:KLLLJ7F7

pith:2006:KLLLJ7F7KUT6NJRCZBFMAO2R2W

not attested not anchored not stored refs pending

Crossing the phantom divide without phantom matter

Israel Quiros, Luis P. Chimento, Roy Maartens, Ruth Lazkoz

arxiv:astro-ph/0605450 v1 · 2006-05-18 · astro-ph · gr-qc · 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{KLLLJ7F7KUT6NJRCZBFMAO2R2W}

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	2026-07-04T16:58:45.271429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d6b4fcbf5527e6a622c84ac03b51d5ae811989fc4c7f7e167f6116a6d4cb91

Aliases

arxiv: astro-ph/0605450 · arxiv_version: astro-ph/0605450v1 · doi: 10.48550/arxiv.astro-ph/0605450 · pith_short_12: KLLLJ7F7KUT6 · pith_short_16: KLLLJ7F7KUT6NJRC · pith_short_8: KLLLJ7F7

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/KLLLJ7F7KUT6NJRCZBFMAO2R2W \
  | 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: 52d6b4fcbf5527e6a622c84ac03b51d5ae811989fc4c7f7e167f6116a6d4cb91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c330fad8b815aa2a291731bb8ece5bdbe4adda122fd3f9609d5e70dcea7fb4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-05-18T11:29:19Z",
    "title_canon_sha256": "993de0868af2dc46b092c6fab1b967e1f18cd3d463ed1b80240c0313cd31912f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0605450",
    "kind": "arxiv",
    "version": 1
  }
}