Pith Number

pith:7SISVX3E

pith:2025:7SISVX3EGWFMVDOBJWMUWM5DFH

not attested not anchored not stored refs pending

Black hole images as probes of thermodynamic evolution

Jinsong Yang, Lei You

arxiv:2512.24174 v2 · 2025-12-30 · 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{7SISVX3EGWFMVDOBJWMUWM5DFH}

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	2026-06-04T01:08:38.946094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc912adf64358aca8dc14d994b33a329c392c65d19944198a4e7b56948ab432e

Aliases

arxiv: 2512.24174 · arxiv_version: 2512.24174v2 · doi: 10.48550/arxiv.2512.24174 · pith_short_12: 7SISVX3EGWFM · pith_short_16: 7SISVX3EGWFMVDOB · pith_short_8: 7SISVX3E

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/7SISVX3EGWFMVDOBJWMUWM5DFH \
  | 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: fc912adf64358aca8dc14d994b33a329c392c65d19944198a4e7b56948ab432e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9c467a1b71a055a92a48cc009ad809d3dc5bf16219440da16e5a9821757dd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-30T12:15:27Z",
    "title_canon_sha256": "d981c787a32866b807528947a56c24665b4cfc94b2ccde67124aa02cc3c373f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24174",
    "kind": "arxiv",
    "version": 2
  }
}