Pith Number

pith:C2EM5IFX

pith:2010:C2EM5IFXXKJUQNG3A4YJ22YGAE

not attested not anchored not stored refs pending

Reflection and Transmission at the Apparent Horizon during Gravitational Collapse

Cenalo Vaz, L.C.R. Wijewardhana

arxiv:1007.3982 v3 · 2010-07-22 · gr-qc · 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{C2EM5IFXXKJUQNG3A4YJ22YGAE}

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	2026-05-18T04:38:59.088572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1688cea0b7ba934834db07309d6b060139ee78d05210df306aa027e267fdf436

Aliases

arxiv: 1007.3982 · arxiv_version: 1007.3982v3 · doi: 10.48550/arxiv.1007.3982 · pith_short_12: C2EM5IFXXKJU · pith_short_16: C2EM5IFXXKJUQNG3 · pith_short_8: C2EM5IFX

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/C2EM5IFXXKJUQNG3A4YJ22YGAE \
  | 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: 1688cea0b7ba934834db07309d6b060139ee78d05210df306aa027e267fdf436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ac66d18464570b96cd28eb005b57c4f28f6d0250a8af7be78f5729d6e3ce5a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-07-22T19:46:19Z",
    "title_canon_sha256": "30c07ec7827db8d374549c888ef5588bfb7b38a6c69173972aca9c5628bea4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3982",
    "kind": "arxiv",
    "version": 3
  }
}