Pith Number

pith:6IJ4ONVK

pith:2016:6IJ4ONVKWVUUW24IOLPGRZG6P4

not attested not anchored not stored refs pending

Gravitational lensing by compact objects within plasma

Adam Rogers

arxiv:1611.00076 v1 · 2016-10-31 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IJ4ONVKWVUUW24IOLPGRZG6P4}

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	2026-05-18T01:00:41.470975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f213c736aab5694b6b8872de68e4de7f0a7238af960e539a59a0f80bbc9f00fb

Aliases

arxiv: 1611.00076 · arxiv_version: 1611.00076v1 · doi: 10.48550/arxiv.1611.00076 · pith_short_12: 6IJ4ONVKWVUU · pith_short_16: 6IJ4ONVKWVUUW24I · pith_short_8: 6IJ4ONVK

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/6IJ4ONVKWVUUW24IOLPGRZG6P4 \
  | 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: f213c736aab5694b6b8872de68e4de7f0a7238af960e539a59a0f80bbc9f00fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf97f54ad2d4279bf08a4af4f8e9fc65a935220816b15a577f9ccf56893dc9b",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-31T23:03:12Z",
    "title_canon_sha256": "8bab42b0386c9f77581ef63fb2b957f823663911774701906c6d2ee72d677cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00076",
    "kind": "arxiv",
    "version": 1
  }
}