Pith Number

pith:TU2U3CKW

pith:2008:TU2U3CKWJ7RR2F43LSAXB7H3A5

not attested not anchored not stored refs pending

Quantum Particle Production at Sudden Singularities

Antonio B. Batista, John D. Barrow, Julio C. Fabris, M. J. S. Houndjo

arxiv:0807.4253 v3 · 2008-07-26 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU2U3CKWJ7RR2F43LSAXB7H3A5}

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	2026-05-18T03:51:47.497990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d354d89564fe31d179b5c8170fcfb074059703793352d29ef660596b27e3293

Aliases

arxiv: 0807.4253 · arxiv_version: 0807.4253v3 · doi: 10.48550/arxiv.0807.4253 · pith_short_12: TU2U3CKWJ7RR · pith_short_16: TU2U3CKWJ7RR2F43 · pith_short_8: TU2U3CKW

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/TU2U3CKWJ7RR2F43LSAXB7H3A5 \
  | 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: 9d354d89564fe31d179b5c8170fcfb074059703793352d29ef660596b27e3293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebd99e7f3862d2c9f6cdab5dfb4e0949c38d4b56c28e8810bc2ff390af201af",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-07-26T20:08:44Z",
    "title_canon_sha256": "12ab25aad3d82210091c3d850a73f8ee8be01ead41af3718fa05172e88b6bdc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4253",
    "kind": "arxiv",
    "version": 3
  }
}