Pith Number

pith:MZCVI5RW

pith:2022:MZCVI5RWWN5T2K2UR4GWCFU6ZB

not attested not anchored not stored refs pending

Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms

Nikko John Leo S. Lobos, Reggie C. Pantig

arxiv:2208.00618 v2 · 2022-08-01 · 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{MZCVI5RWWN5T2K2UR4GWCFU6ZB}

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	2026-07-05T07:21:09.878945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6645547636b37b3d2b548f0d61169ec855c7b51f295c3e71ef6a23c1d61a6c0d

Aliases

arxiv: 2208.00618 · arxiv_version: 2208.00618v2 · doi: 10.48550/arxiv.2208.00618 · pith_short_12: MZCVI5RWWN5T · pith_short_16: MZCVI5RWWN5T2K2U · pith_short_8: MZCVI5RW

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/MZCVI5RWWN5T2K2UR4GWCFU6ZB \
  | 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: 6645547636b37b3d2b548f0d61169ec855c7b51f295c3e71ef6a23c1d61a6c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7b8e7a385dab3386414c385507d81ca00af2f3e3740ae6bdda0705b29ce00e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-08-01T05:37:51Z",
    "title_canon_sha256": "30eef96c68ac1c874fe871f71e0da51dff05fdbcf5b5a87b5aa41ba634e66cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.00618",
    "kind": "arxiv",
    "version": 2
  }
}