Pith Number

pith:FXFSYKAP

pith:2009:FXFSYKAPRN2IA7SFRPI2VX34IB

not attested not anchored not stored refs pending

Transformation optics that mimics the system outside a Schwarzschild black hole

Huanyang Chen, Miao Li, Rong-Xin Miao

arxiv:0912.4856 v2 · 2009-12-24 · physics.optics · 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{FXFSYKAPRN2IA7SFRPI2VX34IB}

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	2026-05-18T04:15:28.570684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dcb2c280f8b74807e458bd1aadf7c404ca54069642b8d3ca6ac81f9021615d4

Aliases

arxiv: 0912.4856 · arxiv_version: 0912.4856v2 · doi: 10.48550/arxiv.0912.4856 · pith_short_12: FXFSYKAPRN2I · pith_short_16: FXFSYKAPRN2IA7SF · pith_short_8: FXFSYKAP

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/FXFSYKAPRN2IA7SFRPI2VX34IB \
  | 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: 2dcb2c280f8b74807e458bd1aadf7c404ca54069642b8d3ca6ac81f9021615d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044247b04a426b9ec5c6673d955b50859e2a1a54eb6b9a618728a9bbaff6e30b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-12-24T13:15:53Z",
    "title_canon_sha256": "d92d0879e63af5e6fd4b46d56394008959b220ae584a1dd86ee58055adc83dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4856",
    "kind": "arxiv",
    "version": 2
  }
}