Pith Number

pith:ENUWP5YJ

pith:2009:ENUWP5YJU3AKTNJPHVC5SMUWRR

not attested not anchored not stored refs pending

The Refractive Index of Curved Spacetime II: QED, Penrose Limits and Black Holes

Graham M. Shore, Ross J. Stanley, Timothy J. Hollowood

arxiv:0905.0771 v2 · 2009-05-06 · 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{ENUWP5YJU3AKTNJPHVC5SMUWRR}

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	2026-05-18T04:08:35.039394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236967f709a6c0a9b52f3d45d932968c6671240c23a622092e2358a9814c8a75

Aliases

arxiv: 0905.0771 · arxiv_version: 0905.0771v2 · doi: 10.48550/arxiv.0905.0771 · pith_short_12: ENUWP5YJU3AK · pith_short_16: ENUWP5YJU3AKTNJP · pith_short_8: ENUWP5YJ

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/ENUWP5YJU3AKTNJPHVC5SMUWRR \
  | 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: 236967f709a6c0a9b52f3d45d932968c6671240c23a622092e2358a9814c8a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d41f883aa1afd47a7b0487f0276b83ff8457e10f33dd444bec948aa7ade64f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-05-06T08:14:08Z",
    "title_canon_sha256": "4449067dc75e8d3c76f5a1453e220aaca9e0a37a0ad58f239e4346dbf4449185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0771",
    "kind": "arxiv",
    "version": 2
  }
}