Pith Number

pith:VHLPMRGJ

pith:2005:VHLPMRGJQHHE4U73LURFWGHQRB

not attested not anchored not stored refs pending

Quantum superposition principle and gravitational collapse: Scattering times for spherical shells

M. Ambrus, P. Hajicek

arxiv:gr-qc/0507017 v2 · 2005-07-05 · 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{VHLPMRGJQHHE4U73LURFWGHQRB}

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	2026-05-18T03:24:30.583967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d6f644c981ce4e53fb5d225b18f08842d2ac76c84502d99f918b3bca2cea86

Aliases

arxiv: gr-qc/0507017 · arxiv_version: gr-qc/0507017v2 · doi: 10.48550/arxiv.gr-qc/0507017 · pith_short_12: VHLPMRGJQHHE · pith_short_16: VHLPMRGJQHHE4U73 · pith_short_8: VHLPMRGJ

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/VHLPMRGJQHHE4U73LURFWGHQRB \
  | 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: a9d6f644c981ce4e53fb5d225b18f08842d2ac76c84502d99f918b3bca2cea86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc589ac76e0a744ae0a5e2a1929cd31c5031dbd5c56f902833edc2a2073e494f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-07-05T13:08:04Z",
    "title_canon_sha256": "50b75ccb13d14e8e9c6d66f6ab5cfec4d4acd0528fbb97f4fc1e320d53424c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0507017",
    "kind": "arxiv",
    "version": 2
  }
}