Pith Number

pith:6TCDNYKY

pith:2016:6TCDNYKYUACL2T3ED5MWNW6PVH

not attested not anchored not stored refs pending

Escape and Trapping of Low-Frequency Gravitationally Lensed Rays by Compact Objects within Plasma

Adam Rogers

arxiv:1611.01269 v2 · 2016-11-04 · 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{6TCDNYKYUACL2T3ED5MWNW6PVH}

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	2026-05-18T00:52:29.262761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c436e158a004bd4f641f5966dbcfa9e326cf837cc6ef05901e65396eb677af

Aliases

arxiv: 1611.01269 · arxiv_version: 1611.01269v2 · doi: 10.48550/arxiv.1611.01269 · pith_short_12: 6TCDNYKYUACL · pith_short_16: 6TCDNYKYUACL2T3E · pith_short_8: 6TCDNYKY

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/6TCDNYKYUACL2T3ED5MWNW6PVH \
  | 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: f4c436e158a004bd4f641f5966dbcfa9e326cf837cc6ef05901e65396eb677af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ddd386c93eaa877b43a346b6273417aab9759b4c7922ffea84d60a4c26e06ca",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-04T06:15:50Z",
    "title_canon_sha256": "1984d81f3a2f8d793600481da5d2f5db179aa1595b7f5de20fb3fba0877e063c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01269",
    "kind": "arxiv",
    "version": 2
  }
}