Pith Number

pith:3Y2ZY4F4

pith:1999:3Y2ZY4F4POOX7QCM42K5IH6B3X

not attested not anchored not stored refs pending

Reduced models for quantum gravity

T. Thiemann

arxiv:gr-qc/9910010 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{3Y2ZY4F4POOX7QCM42K5IH6B3X}

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	2026-05-18T01:39:17.797163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de359c70bc7b9d7fc04ce695d41fc1ddc437f0bbbc65ed04321ca603ba97bdd3

Aliases

arxiv: gr-qc/9910010 · arxiv_version: gr-qc/9910010v1 · doi: 10.48550/arxiv.gr-qc/9910010 · pith_short_12: 3Y2ZY4F4POOX · pith_short_16: 3Y2ZY4F4POOX7QCM · pith_short_8: 3Y2ZY4F4

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/3Y2ZY4F4POOX7QCM42K5IH6B3X \
  | 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: de359c70bc7b9d7fc04ce695d41fc1ddc437f0bbbc65ed04321ca603ba97bdd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ba67b254fd93c681ee596a852fa673cf2838f80fc27caa11616da29239502f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-04T17:22:34Z",
    "title_canon_sha256": "2363a35081fe2984be8a137b6bbcb6cd78358dc3955583c02cb9e7a99bf77caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910010",
    "kind": "arxiv",
    "version": 1
  }
}