Pith Number

pith:HCJT6VKI

pith:2002:HCJT6VKIWWHDOOWS353BBLKP34

not attested not anchored not stored refs pending

Degeneracy in exotic gravitational lensing

Diego F. Torres, Margarita Safonova

arxiv:gr-qc/0208039 v1 · 2002-08-14 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCJT6VKIWWHDOOWS353BBLKP34}

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.

Cited by

1 paper in Pith

Observational signatures of negative mass wormholes through their shadows

Receipt and verification

First computed	2026-05-18T01:06:47.627106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38933f5548b58e373ad2df7610ad4fdf3b9cb8478c666ca14569604ebb6e3857

Aliases

arxiv: gr-qc/0208039 · arxiv_version: gr-qc/0208039v1 · doi: 10.48550/arxiv.gr-qc/0208039 · pith_short_12: HCJT6VKIWWHD · pith_short_16: HCJT6VKIWWHDOOWS · pith_short_8: HCJT6VKI

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/HCJT6VKIWWHDOOWS353BBLKP34 \
  | 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: 38933f5548b58e373ad2df7610ad4fdf3b9cb8478c666ca14569604ebb6e3857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef312b6014e2913eee224605120e9086e5c0957226a36a0be112346fba0210b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-08-14T21:01:11Z",
    "title_canon_sha256": "338082045ce6df57351fa59d1ee48e23b076ff30f6c98ba16b6f1d894d87e5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0208039",
    "kind": "arxiv",
    "version": 1
  }
}