Pith Number

pith:W73DA3FT

pith:2016:W73DA3FTCDWZQB5QUI3SQUYLDL

not attested not anchored not stored refs pending

New volume and inverse volume operators for loop quantum gravity

Jinsong Yang, Yongge Ma

arxiv:1602.08688 v2 · 2016-02-28 · 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{W73DA3FTCDWZQB5QUI3SQUYLDL}

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	2026-05-18T01:09:57.616093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f6306cb310ed9807b0a23728530b1af717822644c0940c9f7deb7ee779a1b2

Aliases

arxiv: 1602.08688 · arxiv_version: 1602.08688v2 · doi: 10.48550/arxiv.1602.08688 · pith_short_12: W73DA3FTCDWZ · pith_short_16: W73DA3FTCDWZQB5Q · pith_short_8: W73DA3FT

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/W73DA3FTCDWZQB5QUI3SQUYLDL \
  | 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: b7f6306cb310ed9807b0a23728530b1af717822644c0940c9f7deb7ee779a1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e03a0d061e233765cb59f99304b7b1636dc69a2b8b323ee6a6c2203b7ebadd94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-28T09:34:24Z",
    "title_canon_sha256": "258fb560194b3da753b45b3eec83da6b49600cd40c40237be172b485c1138c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08688",
    "kind": "arxiv",
    "version": 2
  }
}