Pith Number

pith:2NMHQNKZ

pith:2016:2NMHQNKZHMSH4NAVWNZCBL7X3A

not attested not anchored not stored refs pending

Double shadow of a regular phantom black hole as photons couple to Weyl tensor

Jiliang Jing, Songbai Chen, Yang Huang

arxiv:1606.04634 v2 · 2016-06-15 · 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{2NMHQNKZHMSH4NAVWNZCBL7X3A}

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

1 paper in Pith

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Receipt and verification

First computed	2026-05-18T01:00:05.727328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3587835593b247e3415b37220aff7d801e6960ca42a7432f42a1691fdca4fa6

Aliases

arxiv: 1606.04634 · arxiv_version: 1606.04634v2 · doi: 10.48550/arxiv.1606.04634 · pith_short_12: 2NMHQNKZHMSH · pith_short_16: 2NMHQNKZHMSH4NAV · pith_short_8: 2NMHQNKZ

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/2NMHQNKZHMSH4NAVWNZCBL7X3A \
  | 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: d3587835593b247e3415b37220aff7d801e6960ca42a7432f42a1691fdca4fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c97aac2a302cfbe87448472f2982f64c2f3a7743178887bf8432a5e7df083a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-06-15T03:55:47Z",
    "title_canon_sha256": "1129edcf2ab20fdd2f6c24d45cc97763cba0b034f9b1aa809ab6a86c9165263d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04634",
    "kind": "arxiv",
    "version": 2
  }
}