Pith Number

pith:LU4ABHGH

pith:2024:LU4ABHGHOXTBPRFU2MJSRJPV3H

not attested not anchored not stored refs pending

Black hole horizons must be veiled by photon spheres

Astrid Eichhorn, Ra\'ul Carballo-Rubio

arxiv:2405.08872 v1 · 2024-05-14 · 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{LU4ABHGHOXTBPRFU2MJSRJPV3H}

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	2026-07-05T08:19:10.389402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d38009cc775e617c4b4d31328a5f5d9d90938b5f7bfcb7babe526aa5896cb47

Aliases

arxiv: 2405.08872 · arxiv_version: 2405.08872v1 · doi: 10.48550/arxiv.2405.08872 · pith_short_12: LU4ABHGHOXTB · pith_short_16: LU4ABHGHOXTBPRFU · pith_short_8: LU4ABHGH

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/LU4ABHGHOXTBPRFU2MJSRJPV3H \
  | 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: 5d38009cc775e617c4b4d31328a5f5d9d90938b5f7bfcb7babe526aa5896cb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3cc7c2cf1423ea51d21f306bac4d9ef620b6b072e3825311f93cc12cc32b572",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-14T18:00:03Z",
    "title_canon_sha256": "d437a14d87366b0c3cc88b7b271c94956bb53266ee71959e82154d5e575b5852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.08872",
    "kind": "arxiv",
    "version": 1
  }
}