Pith Number

pith:YBQ3MY4A

pith:2014:YBQ3MY4A4GIEKQAEVJML3OUJ5W

not attested not anchored not stored refs pending

Phantom black holes and critical phenomena

Glauber T. Marques, Manuel E. Rodrigues, Mustapha Azreg-A\"inou

arxiv:1405.5745 v2 · 2014-05-22 · 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{YBQ3MY4A4GIEKQAEVJML3OUJ5W}

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	2026-05-18T02:47:24.005991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c061b66380e190454004aa58bdba89ed93c6dcc074968696e0d2d83364295faa

Aliases

arxiv: 1405.5745 · arxiv_version: 1405.5745v2 · doi: 10.48550/arxiv.1405.5745 · pith_short_12: YBQ3MY4A4GIE · pith_short_16: YBQ3MY4A4GIEKQAE · pith_short_8: YBQ3MY4A

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/YBQ3MY4A4GIEKQAEVJML3OUJ5W \
  | 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: c061b66380e190454004aa58bdba89ed93c6dcc074968696e0d2d83364295faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e59b9f07d3dd2f0dc55749cbcebbaa29b15ac9fbabbad2f04500a7d92e5ff10",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-05-22T13:14:24Z",
    "title_canon_sha256": "7bbf53dda37b6fc19f94b3532ce936257ea68afd134da1293821dc0dffce498e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5745",
    "kind": "arxiv",
    "version": 2
  }
}