Pith Number

pith:VS2CCJAA

pith:2023:VS2CCJAAFAO2CIZREHKNJ6TLV6

not attested not anchored not stored refs pending

Shadow of higher dimensional collapsing dark star and blackhole

Ratna Koley, Sagnik Roy, Soham Chatterjee

arxiv:2309.02709 v2 · 2023-09-06 · 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{VS2CCJAAFAO2CIZREHKNJ6TLV6}

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

3 papers in Pith

Photon Spheres and shadow of modified black-hole entropies

Receipt and verification

First computed	2026-07-05T08:40:09.136358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb4212400281da1233121d4d4fa6bafafb5a45cf39035c1d4d67c6d87a91554

Aliases

arxiv: 2309.02709 · arxiv_version: 2309.02709v2 · doi: 10.48550/arxiv.2309.02709 · pith_short_12: VS2CCJAAFAO2 · pith_short_16: VS2CCJAAFAO2CIZR · pith_short_8: VS2CCJAA

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/VS2CCJAAFAO2CIZREHKNJ6TLV6 \
  | 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: acb4212400281da1233121d4d4fa6bafafb5a45cf39035c1d4d67c6d87a91554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3495ff7c15fb56bd65350d1aa1ef3b515ef468af9375b2d6500f829ff72f1e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-09-06T04:43:26Z",
    "title_canon_sha256": "2fecb3ff42ac3d371bde68288d95e914fedf8539344cd0212807dff47685580d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.02709",
    "kind": "arxiv",
    "version": 2
  }
}