Pith Number

pith:VAOLZZOR

pith:2025:VAOLZZORNIKQTMRHIVEHWDUAWA

not attested not anchored not stored refs pending

Photon rings in a holographic toy model

Alexandru Lupsasca, Philippe Spindel, Quentin Vandermiers, Raphaela Wutte, Sahaja Kanuri, St\'ephane Detournay

arxiv:2506.07989 v1 · 2025-06-09 · hep-th · 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{VAOLZZORNIKQTMRHIVEHWDUAWA}

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	2026-07-05T11:18:36.843944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81cbce5d16a1509b22745487b0e80b02196cdff08bf62e87d53f02d0c337d2a

Aliases

arxiv: 2506.07989 · arxiv_version: 2506.07989v1 · doi: 10.48550/arxiv.2506.07989 · pith_short_12: VAOLZZORNIKQ · pith_short_16: VAOLZZORNIKQTMRH · pith_short_8: VAOLZZOR

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/VAOLZZORNIKQTMRHIVEHWDUAWA \
  | 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: a81cbce5d16a1509b22745487b0e80b02196cdff08bf62e87d53f02d0c337d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf5cda466493485574e2d344eaca235c0e835485702115f6219267798561005",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-09T17:55:53Z",
    "title_canon_sha256": "121b932c44195fe448cc7fd80c6ee71a2e1ffab08124725a000ebd1dedc99877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07989",
    "kind": "arxiv",
    "version": 1
  }
}