Pith Number

pith:6B6O4XX5

pith:2001:6B6O4XX5O4R36C6DYWVRTY6BF4

not attested not anchored not stored refs pending

Macrolensing signatures of large-scale violations of the weak energy condition

Diego F. Torres, Gustavo E. Romero, Margarita Safonova

arxiv:astro-ph/0104075 v1 · 2001-04-04 · astro-ph · 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{6B6O4XX5O4R36C6DYWVRTY6BF4}

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	2026-05-18T04:13:07.486055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07cee5efd7723bf0bc3c5ab19e3c12f07cf249d0d4e61c579e4e96cfd20b802

Aliases

arxiv: astro-ph/0104075 · arxiv_version: astro-ph/0104075v1 · doi: 10.48550/arxiv.astro-ph/0104075 · pith_short_12: 6B6O4XX5O4R3 · pith_short_16: 6B6O4XX5O4R36C6D · pith_short_8: 6B6O4XX5

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/6B6O4XX5O4R36C6DYWVRTY6BF4 \
  | 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: f07cee5efd7723bf0bc3c5ab19e3c12f07cf249d0d4e61c579e4e96cfd20b802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "320e25ea32e88b10754a56659dadb2bd173cf5f95f71c01dc87f1556dbd1d2dd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-04-04T09:57:06Z",
    "title_canon_sha256": "f1d27a5364a0854d0129969c780cc25290f7d412db94c9be62aeb6843896304b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0104075",
    "kind": "arxiv",
    "version": 1
  }
}