Pith Number

pith:UZ4HDNIA

pith:2021:UZ4HDNIA4ISV2RSMA3HULZONQS

not attested not anchored not stored refs pending

Probing black hole microstructure with the kinetic turnover of phase transition

Jin Wang, Kun Zhang, Ran Li

arxiv:2102.09439 v1 · 2021-02-18 · 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{UZ4HDNIA4ISV2RSMA3HULZONQS}

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	2026-07-05T03:28:13.215836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67871b500e2255d464c06cf45e5cd849f68c90b61f9e552cd53563322694435

Aliases

arxiv: 2102.09439 · arxiv_version: 2102.09439v1 · doi: 10.48550/arxiv.2102.09439 · pith_short_12: UZ4HDNIA4ISV · pith_short_16: UZ4HDNIA4ISV2RSM · pith_short_8: UZ4HDNIA

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/UZ4HDNIA4ISV2RSMA3HULZONQS \
  | 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: a67871b500e2255d464c06cf45e5cd849f68c90b61f9e552cd53563322694435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0aef962df6c76c7a715ccb8235b1230ef2995147c223a68467f51d45a93b4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-18T16:00:06Z",
    "title_canon_sha256": "cd7d80576012940d0753307bfc9b156b6c322a7eeb2b5ae5dfa8ee8ca3150c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09439",
    "kind": "arxiv",
    "version": 1
  }
}