Pith Number

pith:XRNRRVT5

pith:2022:XRNRRVT5IZFHB5P6FSFFCTYRIJ

not attested not anchored not stored refs pending

How narrow is the M87* ring? II. A new geometric model

Samuel E. Gralla, Will Lockhart

arxiv:2208.09989 v1 · 2022-08-22 · 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{XRNRRVT5IZFHB5P6FSFFCTYRIJ}

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

Photon rings in a holographic toy model

Receipt and verification

First computed	2026-07-05T05:03:05.470060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc5b18d67d464a70f5fe2c8a514f1142786a4a6e710b27c09f937f2632380f01

Aliases

arxiv: 2208.09989 · arxiv_version: 2208.09989v1 · doi: 10.48550/arxiv.2208.09989 · pith_short_12: XRNRRVT5IZFH · pith_short_16: XRNRRVT5IZFHB5P6 · pith_short_8: XRNRRVT5

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/XRNRRVT5IZFHB5P6FSFFCTYRIJ \
  | 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: bc5b18d67d464a70f5fe2c8a514f1142786a4a6e710b27c09f937f2632380f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0fd98a090244c3eb3e2d0a3e4b6faa48a790dff326f02a4832bbbf5ec3442f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2022-08-22T00:01:26Z",
    "title_canon_sha256": "1935037ff1982c8522bd1cffbe460b1693e13882f24d7fe0c53a13a2b78f2e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09989",
    "kind": "arxiv",
    "version": 1
  }
}