Pith Number

pith:EYUTIMN3

pith:2021:EYUTIMN37KEEAKU6J553LCELGM

not attested not anchored not stored refs pending

Black hole singularities across phase transitions

Avinash Raju, Hong-Da Lyu, Yan Liu

arxiv:2108.04554 v2 · 2021-08-10 · hep-th · 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{EYUTIMN37KEEAKU6J553LCELGM}

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

Analytical studies on 3D hairy rotating black hole interiors

Interior structure of black holes with nonlinear terms

Nonequilibrium crossover in the supercritical region from quench dynamics

Receipt and verification

First computed	2026-07-05T03:28:23.385536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26293431bbfa88402a9e4f7bb5888b33176f0a982d45f66e3ab350657ca50044

Aliases

arxiv: 2108.04554 · arxiv_version: 2108.04554v2 · doi: 10.48550/arxiv.2108.04554 · pith_short_12: EYUTIMN37KEE · pith_short_16: EYUTIMN37KEEAKU6 · pith_short_8: EYUTIMN3

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/EYUTIMN37KEEAKU6J553LCELGM \
  | 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: 26293431bbfa88402a9e4f7bb5888b33176f0a982d45f66e3ab350657ca50044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db45ab9c91ee206c21d614f7545ee9fe034dcb9b32839262a9eae308bfe1ad75",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-10T10:01:02Z",
    "title_canon_sha256": "5632ba3ce66baf7417940da8cbadec32ba584aaf4ccd8796ee4a6331ae9d6984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04554",
    "kind": "arxiv",
    "version": 2
  }
}