Pith Number

pith:NCOW3KBG

pith:2021:NCOW3KBGIXPAW27B2HF66VWLKV

not attested not anchored not stored refs pending

New light rings from multiple critical curves as observational signatures of black hole mimickers

Diego Rubiera-Garcia, Diego S\'aez-Chill\'on G\'omez, Gonzalo J. Olmo

arxiv:2110.10002 v1 · 2021-10-19 · 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{NCOW3KBGIXPAW27B2HF66VWLKV}

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

Light Rings, Accretion Disks and Shadows of Hayward Boson Stars

Observational signatures of negative mass wormholes through their shadows

Energy conditions in static, spherically symmetric spacetimes and effective geometries

Receipt and verification

First computed	2026-07-05T04:15:47.618124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689d6da82645de0b6be1d1cbef56cb556b8f05b6d33d74aa500b3f56fda31b44

Aliases

arxiv: 2110.10002 · arxiv_version: 2110.10002v1 · doi: 10.48550/arxiv.2110.10002 · pith_short_12: NCOW3KBGIXPA · pith_short_16: NCOW3KBGIXPAW27B · pith_short_8: NCOW3KBG

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/NCOW3KBGIXPAW27B2HF66VWLKV \
  | 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: 689d6da82645de0b6be1d1cbef56cb556b8f05b6d33d74aa500b3f56fda31b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7324c36d19744dd3bb78d68634dc446ebea9618a7f69c6d6e994f5c21013a2e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-19T14:12:50Z",
    "title_canon_sha256": "4ed814be2d791c8cfa6dd58b617aff054b34c6a16d8675055935b0cf5614b6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10002",
    "kind": "arxiv",
    "version": 1
  }
}