Pith Number

pith:2GXXAJB7

pith:2019:2GXXAJB7HH37XDFGWJGWWGVWBX

not attested not anchored not stored refs pending

Can shadows reflect phase structures of black holes?

Ming Zhang, Minyong Guo

arxiv:1909.07033 v5 · 2019-09-16 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GXXAJB7HH37XDFGWJGWWGVWBX}

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

2 papers in Pith

Can finite-density QCD matter support a regular black hole core?

Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field

Receipt and verification

First computed	2026-07-05T01:30:49.024877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1af70243f39f7fb8ca6b24d6b1ab60dc8eafa838478a8700b2fc6660419885b

Aliases

arxiv: 1909.07033 · arxiv_version: 1909.07033v5 · doi: 10.48550/arxiv.1909.07033 · pith_short_12: 2GXXAJB7HH37 · pith_short_16: 2GXXAJB7HH37XDFG · pith_short_8: 2GXXAJB7

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/2GXXAJB7HH37XDFGWJGWWGVWBX \
  | 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: d1af70243f39f7fb8ca6b24d6b1ab60dc8eafa838478a8700b2fc6660419885b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f89d9cdf0a1adbf34e2b8fcc11c1159fc1e9b04f5d1f9ee2b2860570ff1631",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-16T07:29:11Z",
    "title_canon_sha256": "1a39cf3193cf64dd5c4ada99586599e764c74b81f2ffae1833ecab631b4a7c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07033",
    "kind": "arxiv",
    "version": 5
  }
}