Pith Number

pith:TWFMK5UF

pith:2018:TWFMK5UFXQFLSJ7LEJBM2UQR4A

not attested not anchored not stored refs pending

Lensing and imaging by a stealth defect of spacetime

F.R. Klinkhamer, Z.L. Wang

arxiv:1808.02465 v5 · 2018-08-07 · 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{TWFMK5UFXQFLSJ7LEJBM2UQR4A}

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	2026-05-17T23:52:27.236777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8ac57685bc0ab927eb2242cd5211e036549c7d6a13c0d1869c524916788838

Aliases

arxiv: 1808.02465 · arxiv_version: 1808.02465v5 · doi: 10.48550/arxiv.1808.02465 · pith_short_12: TWFMK5UFXQFL · pith_short_16: TWFMK5UFXQFLSJ7L · pith_short_8: TWFMK5UF

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/TWFMK5UFXQFLSJ7LEJBM2UQR4A \
  | 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: 9d8ac57685bc0ab927eb2242cd5211e036549c7d6a13c0d1869c524916788838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3deb3c64c60cd959e4eb448dce8543b4180add1187b9e0da6bbd2f4c7568b26",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-08-07T17:17:30Z",
    "title_canon_sha256": "fce1ba33d6190e01be83c0fa43fa5eb4da80b6f6c77ad5fd27a31d56d0d67125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02465",
    "kind": "arxiv",
    "version": 5
  }
}