Pith Number

pith:IR5FHGHR

pith:2015:IR5FHGHR5N27QACAOAEEYCIQYF

not attested not anchored not stored refs pending

Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes

Beatriz Elizaga Navascu\'es, Guillermo A. Mena Marug\'an, Jer\'onimo Cortez, Jos\'e M. Velhinho, Mercedes Mart\'in-Benito

arxiv:1509.09086 v1 · 2015-09-30 · 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{IR5FHGHR5N27QACAOAEEYCIQYF}

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	2026-05-18T01:27:22.394217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447a5398f1eb75f8004070084c0910c141932a6636e6458006900a9172c09110

Aliases

arxiv: 1509.09086 · arxiv_version: 1509.09086v1 · doi: 10.48550/arxiv.1509.09086 · pith_short_12: IR5FHGHR5N27 · pith_short_16: IR5FHGHR5N27QACA · pith_short_8: IR5FHGHR

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/IR5FHGHR5N27QACAOAEEYCIQYF \
  | 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: 447a5398f1eb75f8004070084c0910c141932a6636e6458006900a9172c09110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114f1a000a3575727ee0cd7fa1bc9c79d60f7c9aec4c1333fe93b113cfb52315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-30T09:08:42Z",
    "title_canon_sha256": "c4db90f944f4f069dcd5e1858ed148df9760c2e7de5525ecdebdd5118b66d366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09086",
    "kind": "arxiv",
    "version": 1
  }
}