Pith Number

pith:U37RSART

pith:2017:U37RSARTLVRTLAZR5Q43BNEUQH

not attested not anchored not stored refs pending

Gravitational Lensing of Rays through the Levitating Atmospheres of Compact Objects

Adam Rogers

arxiv:1701.05693 v1 · 2017-01-20 · 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{U37RSARTLVRTLAZR5Q43BNEUQH}

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	2026-05-18T00:52:28.783215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ff1902335d63358331ec39b0b49481c2c3ab7b24969777537e37dd030770dc

Aliases

arxiv: 1701.05693 · arxiv_version: 1701.05693v1 · doi: 10.48550/arxiv.1701.05693 · pith_short_12: U37RSARTLVRT · pith_short_16: U37RSARTLVRTLAZR · pith_short_8: U37RSART

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/U37RSARTLVRTLAZR5Q43BNEUQH \
  | 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: a6ff1902335d63358331ec39b0b49481c2c3ab7b24969777537e37dd030770dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b346fba97ca80f2c240c814be6c874bb7f3611ee72466256814f8bc546927cd",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-20T05:12:57Z",
    "title_canon_sha256": "cd5b7c832de2de414c18e31f7ee0ad875e656ef6b76ef0729e07206201d13be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05693",
    "kind": "arxiv",
    "version": 1
  }
}