Pith Number

pith:T46SWZEN

pith:2015:T46SWZEN7XSUQQU2PYFMGCZJPM

not attested not anchored not stored refs pending

Revisiting the distance duality relation using a non-parametric regression method

Akshay Rana, Amitabha Mukherjee, Deepak Jain, Shobhit Mahajan

arxiv:1511.09223 v3 · 2015-11-30 · 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{T46SWZEN7XSUQQU2PYFMGCZJPM}

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	2026-05-18T01:10:32.945369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f3d2b648dfde548429a7e0ac30b297b18813fe5b3166a4f45404b9c059ed529

Aliases

arxiv: 1511.09223 · arxiv_version: 1511.09223v3 · doi: 10.48550/arxiv.1511.09223 · pith_short_12: T46SWZEN7XSU · pith_short_16: T46SWZEN7XSUQQU2 · pith_short_8: T46SWZEN

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/T46SWZEN7XSUQQU2PYFMGCZJPM \
  | 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: 9f3d2b648dfde548429a7e0ac30b297b18813fe5b3166a4f45404b9c059ed529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21bb1889af04176f216b3d6ce8266893d8c50f8e5d4afc9278660397aa53390f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-11-30T10:03:07Z",
    "title_canon_sha256": "a58485c7eaa47fe437398299bc99047bb0131f0617e3df4e2fbafd47f8504cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09223",
    "kind": "arxiv",
    "version": 3
  }
}