Pith Number

pith:ZGK25WQA

pith:2019:ZGK25WQALBALD7FQFUXM6OP5VL

not attested not anchored not stored refs pending

An exact time-dependent interior Schwarzschild solution

Paolo Gondolo, Philip Beltracchi

arxiv:1902.07827 v1 · 2019-02-21 · 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{ZGK25WQALBALD7FQFUXM6OP5VL}

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	2026-05-17T23:48:30.441090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c995aeda005840b1fcb02d2ecf39fdaad7f818427b23750d651ca8973952a717

Aliases

arxiv: 1902.07827 · arxiv_version: 1902.07827v1 · doi: 10.48550/arxiv.1902.07827 · pith_short_12: ZGK25WQALBAL · pith_short_16: ZGK25WQALBALD7FQ · pith_short_8: ZGK25WQA

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/ZGK25WQALBALD7FQFUXM6OP5VL \
  | 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: c995aeda005840b1fcb02d2ecf39fdaad7f818427b23750d651ca8973952a717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6acc09530cf892ed5dfd05eec81acf375c16232f8de6f77048ca255dae5dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-02-21T01:09:21Z",
    "title_canon_sha256": "8359655e02771e20e8b2d6579c03cdb7e7b07fafe355ded49004b1bcf7a21e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07827",
    "kind": "arxiv",
    "version": 1
  }
}