Pith Number

pith:T4CH4ERK

pith:1999:T4CH4ERKDTDS4XAMW4NFAICQMW

not attested not anchored not stored refs pending

Reduced Phase Space Quantization of spherically symmetric Einstein-Maxwell-Theory including a cosmological constant

T. Thiemann

arxiv:gr-qc/9910011 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{T4CH4ERKDTDS4XAMW4NFAICQMW}

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	2026-05-18T04:23:55.417968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f047e122a1cc72e5c0cb71a50205065b09e77f9c345caec3c206ba2dbb914b9

Aliases

arxiv: gr-qc/9910011 · arxiv_version: gr-qc/9910011v1 · doi: 10.48550/arxiv.gr-qc/9910011 · pith_short_12: T4CH4ERKDTDS · pith_short_16: T4CH4ERKDTDS4XAM · pith_short_8: T4CH4ERK

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/T4CH4ERKDTDS4XAMW4NFAICQMW \
  | 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: 9f047e122a1cc72e5c0cb71a50205065b09e77f9c345caec3c206ba2dbb914b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e068faba9406038e0e771d7c17cc87dd3a93c641a99f8515b6629f898dfb58",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-04T17:37:15Z",
    "title_canon_sha256": "dace7918713a262f1a8ef6f558b332f7dcc779012060ebd2ecf33075b4ad8676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910011",
    "kind": "arxiv",
    "version": 1
  }
}