Pith Number

pith:VQPKAXYO

pith:2021:VQPKAXYOOAWDB54C7WUSA4YIV4

not attested not anchored not stored refs pending

Canonical analysis of covariant unimodular gravity and an extension of the Kodama state

Shinji Yamashita

arxiv:2110.13762 v1 · 2021-10-26 · 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{VQPKAXYOOAWDB54C7WUSA4YIV4}

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	2026-07-05T03:27:06.167066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1ea05f0e702c30f782fda9207308af3e777c8d67453812df062264109322c2

Aliases

arxiv: 2110.13762 · arxiv_version: 2110.13762v1 · doi: 10.48550/arxiv.2110.13762 · pith_short_12: VQPKAXYOOAWD · pith_short_16: VQPKAXYOOAWDB54C · pith_short_8: VQPKAXYO

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/VQPKAXYOOAWDB54C7WUSA4YIV4 \
  | 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: ac1ea05f0e702c30f782fda9207308af3e777c8d67453812df062264109322c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d40f9a3f51ab5df5d9f5e237fdc1d863d6274e9f84aa76ef778bdc7b563c36f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-26T15:12:08Z",
    "title_canon_sha256": "eb2da1db7f0b086b3043384867399be53183b22fc3ead8812487c04698986b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13762",
    "kind": "arxiv",
    "version": 1
  }
}