Pith. sign in
Pith Number

pith:6IOHFYOE

pith:2012:6IOHFYOEIEFI7QFC3J5B6JP7YX
not attested not anchored not stored refs pending

Particle creation and particle number in an expanding universe

Leonard Parker

arxiv:1205.5616 v1 · 2012-05-25 · astro-ph.CO · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6IOHFYOEIEFI7QFC3J5B6JP7YX}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T01:57:17.539609Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f21c72e1c4410a8fc0a2da7a1f25ffc5e1ebf01a0f115b1f3b590808d775e6d7

Aliases

arxiv: 1205.5616 · arxiv_version: 1205.5616v1 · doi: 10.48550/arxiv.1205.5616 · pith_short_12: 6IOHFYOEIEFI · pith_short_16: 6IOHFYOEIEFI7QFC · pith_short_8: 6IOHFYOE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6IOHFYOEIEFI7QFC3J5B6JP7YX \
  | 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: f21c72e1c4410a8fc0a2da7a1f25ffc5e1ebf01a0f115b1f3b590808d775e6d7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d66b30e1e7053339cd39ece115d66aa09aecf2a6975d5f8e1fa32570412b852d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-25T05:39:34Z",
    "title_canon_sha256": "6bba53194e9a96fbe7ff9975d561a5e8000067bf1979852047a09e96965a4953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5616",
    "kind": "arxiv",
    "version": 1
  }
}