Pith Number

pith:S5S752IX

pith:2016:S5S752IXVOEV2MDZZTNDXTJMIL

not attested not anchored not stored refs pending

de Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology

B.M. Pimentel, C. Naldoni de Souza, E.M. de Morais, L.G. Medeiros, R.R. Cuzinatto

arxiv:1611.00877 v2 · 2016-11-03 · 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{S5S752IXVOEV2MDZZTNDXTJMIL}

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	2026-05-18T00:42:46.401377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9765fee917ab895d3079ccda3bcd2c42c94f41052bf833feb5ce7f01b859304e

Aliases

arxiv: 1611.00877 · arxiv_version: 1611.00877v2 · doi: 10.48550/arxiv.1611.00877 · pith_short_12: S5S752IXVOEV · pith_short_16: S5S752IXVOEV2MDZ · pith_short_8: S5S752IX

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/S5S752IXVOEV2MDZZTNDXTJMIL \
  | 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: 9765fee917ab895d3079ccda3bcd2c42c94f41052bf833feb5ce7f01b859304e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592c43de50abb6459421decd85f2322bd461bc9e4ab9218d959360a55ee0ddcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-11-03T04:00:53Z",
    "title_canon_sha256": "23cd4b207a4d763a054f94ac3650873b0a0040e8f3662c00e8afdfa99e749428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00877",
    "kind": "arxiv",
    "version": 2
  }
}