Pith Number

pith:HKALWMN3

pith:2013:HKALWMN34UZPJBQW24TQ7L7PQL

not attested not anchored not stored refs pending

Solution to the Isotropy Problem for Cosmological Hidden Vector Models

A.L. Maroto, J.A.R. Cembranos, S.J. Nunez Jareno

arxiv:1309.7447 v1 · 2013-09-28 · hep-ph · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKALWMN34UZPJBQW24TQ7L7PQL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:11:58.672620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a80bb31bbe532f48616d7270fafef82c4593124a808ef5d3982b51c9ddbfcb9

Aliases

arxiv: 1309.7447 · arxiv_version: 1309.7447v1 · doi: 10.48550/arxiv.1309.7447 · pith_short_12: HKALWMN34UZP · pith_short_16: HKALWMN34UZPJBQW · pith_short_8: HKALWMN3

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/HKALWMN34UZPJBQW24TQ7L7PQL \
  | 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: 3a80bb31bbe532f48616d7270fafef82c4593124a808ef5d3982b51c9ddbfcb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8ea26600d123f46cbab2e4a3c287654f611f3ee6a4021b9ebb216210835097",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-09-28T10:22:09Z",
    "title_canon_sha256": "8e1a381a37a9dcdd5461474f065adab7f0212cce739c8dd3bd3a538e3bf14b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7447",
    "kind": "arxiv",
    "version": 1
  }
}