Pith Number

pith:TUYKLSCF

pith:1999:TUYKLSCFEO7Y3U2M5D5IFAHKYI

not attested not anchored not stored refs pending

The reduced phase space of spherically symmetric Einstein-Maxwell theory including a cosmological constant

T. Thiemann

arxiv:gr-qc/9910007 v1 · 1999-10-04 · 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{TUYKLSCFEO7Y3U2M5D5IFAHKYI}

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	2026-05-18T04:38:06.836522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d30a5c84523bf8dd34ce8fa8280eac20888288519db09e07e968112bd9080d0

Aliases

arxiv: gr-qc/9910007 · arxiv_version: gr-qc/9910007v1 · doi: 10.48550/arxiv.gr-qc/9910007 · pith_short_12: TUYKLSCFEO7Y · pith_short_16: TUYKLSCFEO7Y3U2M · pith_short_8: TUYKLSCF

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/TUYKLSCFEO7Y3U2M5D5IFAHKYI \
  | 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: 9d30a5c84523bf8dd34ce8fa8280eac20888288519db09e07e968112bd9080d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50101d55e7c50491fe19e884b44d38ccfdc21e01204fa96a8daa8c7ec468b5cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-04T17:01:20Z",
    "title_canon_sha256": "53ae375662970e1b93df2a8c1484b14c14bee7d777ba9418cf09d7ba90a23999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910007",
    "kind": "arxiv",
    "version": 1
  }
}