Pith Number

pith:MQ3FOFKU

pith:2021:MQ3FOFKUMZOTKLQNQA24V3L7GR

not attested not anchored not stored refs pending

Joule-Thomson expansion of the torus-like black hole

Benrong Mu, Jing Liang, Wei Lin

arxiv:2103.03119 v1 · 2021-03-04 · 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{MQ3FOFKUMZOTKLQNQA24V3L7GR}

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	2026-07-05T02:20:24.473222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6436571554665d352e0d8035caed7f3465b9f5bfbb6db36e26f4fa613445086d

Aliases

arxiv: 2103.03119 · arxiv_version: 2103.03119v1 · doi: 10.48550/arxiv.2103.03119 · pith_short_12: MQ3FOFKUMZOT · pith_short_16: MQ3FOFKUMZOTKLQN · pith_short_8: MQ3FOFKU

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/MQ3FOFKUMZOTKLQNQA24V3L7GR \
  | 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: 6436571554665d352e0d8035caed7f3465b9f5bfbb6db36e26f4fa613445086d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86f566d1369eb2f597bbb0c4a10590a9b95459b4cdc53afbe05a952fdec09a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-04T15:45:56Z",
    "title_canon_sha256": "5818c2f9f2853241d3df55a444e30f1cebc3a83f4e9c479997f3b0a81b4ffca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03119",
    "kind": "arxiv",
    "version": 1
  }
}