Pith. sign in
Pith Number

pith:3LRFHXES

pith:2012:3LRFHXESHPD7ZKD4QKZZWLFMV2
not attested not anchored not stored refs pending

Testing the distance duality relation with present and future data

Isobel Hook, Roberto Scaramella, Susanna Spiro, Vincenzo F. Cardone

arxiv:1205.1908 v1 · 2012-05-09 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3LRFHXESHPD7ZKD4QKZZWLFMV2}

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 2026-05-18T01:57:36.219696Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dae253dc923bc7fca87c82b39b2cacaea91225c5cb20622675702cd8a6f32cd6

Aliases

arxiv: 1205.1908 · arxiv_version: 1205.1908v1 · doi: 10.48550/arxiv.1205.1908 · pith_short_12: 3LRFHXESHPD7 · pith_short_16: 3LRFHXESHPD7ZKD4 · pith_short_8: 3LRFHXES
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3LRFHXESHPD7ZKD4QKZZWLFMV2 \
  | 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: dae253dc923bc7fca87c82b39b2cacaea91225c5cb20622675702cd8a6f32cd6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "540fb502bda56acc29b849e3182acdb852b9ff73d5355b84413e90d1f3ea11ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-09T08:40:34Z",
    "title_canon_sha256": "2f554fbb58fd50616a798f8b88df943ee5e634031ce6b2dd4a0a1e0f4516180b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1908",
    "kind": "arxiv",
    "version": 1
  }
}