Pith Number

pith:KDPJQYMU

pith:2020:KDPJQYMUUL2RL6XKZZGS4IXCFW

not attested not anchored not stored refs pending

Measuring the shape of a black hole photon ring

Samuel E. Gralla

arxiv:2005.03856 v2 · 2020-05-08 · astro-ph.HE · astro-ph.IM · 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{KDPJQYMUUL2RL6XKZZGS4IXCFW}

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

Influence of Observer Inclination and Spacetime Structure on Photon Ring Observables

Receipt and verification

First computed	2026-07-05T01:26:14.881957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50de986194a2f515faeace4d2e22e22d90a5f1b6b59e85fa0c01670278d3e937

Aliases

arxiv: 2005.03856 · arxiv_version: 2005.03856v2 · doi: 10.48550/arxiv.2005.03856 · pith_short_12: KDPJQYMUUL2R · pith_short_16: KDPJQYMUUL2RL6XK · pith_short_8: KDPJQYMU

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/KDPJQYMUUL2RL6XKZZGS4IXCFW \
  | 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: 50de986194a2f515faeace4d2e22e22d90a5f1b6b59e85fa0c01670278d3e937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d53fe6a95fe40b3eaf4a4ed8ee5ee859e4762642cfd5597ce387313ec350dc8",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2020-05-08T05:01:25Z",
    "title_canon_sha256": "965f102378c3aef0679447793e5a39c2c61b8cc3f1f9d9fecb7b7a32b734e2b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.03856",
    "kind": "arxiv",
    "version": 2
  }
}