Pith Number

pith:64LPUDVU

pith:2019:64LPUDVUAXOGAW6SF2CGIJVKHY

not attested not anchored not stored refs pending

Analytically approximated scalarized black holes and their thermodynamic stability

Dao-jun Liu, Yuan-Xing Gao

arxiv:1908.01346 v2 · 2019-08-04 · 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{64LPUDVUAXOGAW6SF2CGIJVKHY}

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	2026-07-05T00:01:02.888137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f716fa0eb405dc605bd22e846426aa3e3fdf5c6b5345be4ab1680930363fe682

Aliases

arxiv: 1908.01346 · arxiv_version: 1908.01346v2 · doi: 10.48550/arxiv.1908.01346 · pith_short_12: 64LPUDVUAXOG · pith_short_16: 64LPUDVUAXOGAW6S · pith_short_8: 64LPUDVU

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/64LPUDVUAXOGAW6SF2CGIJVKHY \
  | 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: f716fa0eb405dc605bd22e846426aa3e3fdf5c6b5345be4ab1680930363fe682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a7426252c7acec336f984e30e71c4cba809d1fefc9f688f307c2833b29e170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-04T14:15:25Z",
    "title_canon_sha256": "e8b2e605040d400ac40d3a8f90dcd6b522dacf07f5a3659905c3c1bdc955ab63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01346",
    "kind": "arxiv",
    "version": 2
  }
}