Pith Number

pith:DRMVRU52

pith:2025:DRMVRU52CM23AABUR73VPLKJ5P

not attested not anchored not stored refs pending

Revisiting particle circular orbits as probes of black hole phase transitions

Jinsong Yang, Lei You

arxiv:2512.17642 v3 · 2025-12-19 · 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{DRMVRU52CM23AABUR73VPLKJ5P}

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	2026-07-13T01:17:52.718085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5958d3ba1335b000348ff757ad49ebc4dfff7e1ce2007f492e50435d50813a

Aliases

arxiv: 2512.17642 · arxiv_version: 2512.17642v3 · doi: 10.48550/arxiv.2512.17642 · pith_short_12: DRMVRU52CM23 · pith_short_16: DRMVRU52CM23AABU · pith_short_8: DRMVRU52

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/DRMVRU52CM23AABUR73VPLKJ5P \
  | 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: 1c5958d3ba1335b000348ff757ad49ebc4dfff7e1ce2007f492e50435d50813a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975c2a4ba24d00f8deb62dea784118ae6218015f833e15d58dc69fb8cf5908c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-19T14:42:40Z",
    "title_canon_sha256": "d58d93549edfdd0fe49f24f8c3e0698ec48c71659349dc8f7db047a3cb2d1209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17642",
    "kind": "arxiv",
    "version": 3
  }
}