Pith Number

pith:URRIVYLC

pith:2012:URRIVYLCXHBX5ZH6BQODEQTEV6

not attested not anchored not stored refs pending

Black Holes as Critical Point of Quantum Phase Transition

Cesar Gomez, Gia Dvali

arxiv:1207.4059 v1 · 2012-07-17 · hep-th · cond-mat.quant-gas · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URRIVYLCXHBX5ZH6BQODEQTEV6}

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

Loops Outside a Black Hole

Holographic duality from a four-fermion interaction: emergent AdS$_3$/CFT$_2$, D-branes, and Einstein gravity

Receipt and verification

First computed	2026-05-18T03:50:49.123451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4628ae162b9c37ee4fe0c1c324264af9c4623c3539e05b6827d6ff0142e0153

Aliases

arxiv: 1207.4059 · arxiv_version: 1207.4059v1 · doi: 10.48550/arxiv.1207.4059 · pith_short_12: URRIVYLCXHBX · pith_short_16: URRIVYLCXHBX5ZH6 · pith_short_8: URRIVYLC

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/URRIVYLCXHBX5ZH6BQODEQTEV6 \
  | 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: a4628ae162b9c37ee4fe0c1c324264af9c4623c3539e05b6827d6ff0142e0153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4312f03951ff490ea06c5a340eff755e86719281a0e8fa562b214d85d1c07652",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-17T16:40:06Z",
    "title_canon_sha256": "6b6e16a09f3296374c8ed4e558aa1d23a22de36f3113753f743ce80933a106b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4059",
    "kind": "arxiv",
    "version": 1
  }
}