Pith Number

pith:GDQT3FY4

pith:2012:GDQT3FY4JF3MFJSWBOS5E72IOA

not attested not anchored not stored refs pending

The C$\nu$B energy density through the quantum measurement theory

Alex E. Bernardini, Victor A. S. V. Bittencourt

arxiv:1210.7987 v2 · 2012-10-30 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDQT3FY4JF3MFJSWBOS5E72IOA}

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	2026-05-18T03:31:54.012187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e13d971c4976c2a6560ba5d27f48700621e8dd9c8b975fe59ec5757a8c38db

Aliases

arxiv: 1210.7987 · arxiv_version: 1210.7987v2 · doi: 10.48550/arxiv.1210.7987 · pith_short_12: GDQT3FY4JF3M · pith_short_16: GDQT3FY4JF3MFJSW · pith_short_8: GDQT3FY4

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/GDQT3FY4JF3MFJSWBOS5E72IOA \
  | 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: 30e13d971c4976c2a6560ba5d27f48700621e8dd9c8b975fe59ec5757a8c38db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb71b4db6438dfab463b9a89d68fd992b4019e418a92c6bf918271caa0f41e9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-10-30T12:51:36Z",
    "title_canon_sha256": "3be3e61e74fe362ce5bf1dc218c6fdd579d5a4c86353040f3e7b859077a9d2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7987",
    "kind": "arxiv",
    "version": 2
  }
}