Pith Number

pith:6XCFENXA

pith:2013:6XCFENXAFQIBJJEFTXQREVTC2N

not attested not anchored not stored refs pending

Extra relativistic degrees of freedom without extra particles using Planck data

Axel de la Macorra, Jorge Mastache

arxiv:1303.7038 v2 · 2013-03-28 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XCFENXAFQIBJJEFTXQREVTC2N}

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	2026-05-18T03:16:06.030095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c45236e02c1014a4859de1125662d35096742d11296ed7cafde771f5ad14d7

Aliases

arxiv: 1303.7038 · arxiv_version: 1303.7038v2 · doi: 10.48550/arxiv.1303.7038 · pith_short_12: 6XCFENXAFQIB · pith_short_16: 6XCFENXAFQIBJJEF · pith_short_8: 6XCFENXA

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/6XCFENXAFQIBJJEFTXQREVTC2N \
  | 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: f5c45236e02c1014a4859de1125662d35096742d11296ed7cafde771f5ad14d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434e8dcad80533ebd6d1afbb9d54dd38b50d7115be12574d7a6347f716ad3dc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-03-28T04:53:44Z",
    "title_canon_sha256": "73589f1c735bf0ac8b83f89bc894b2dc71726956ffcdf7fd737db8f317a34fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7038",
    "kind": "arxiv",
    "version": 2
  }
}