Pith Number

pith:WG3H7TPO

pith:2010:WG3H7TPOLU5B4JYUE7FMYAQG2E

not attested not anchored not stored refs pending

Dynamics for a 2-vertex Quantum Gravity Model

Enrique F. Borja, Etera R. Livine, I\~naki Garay, Jacobo Diaz-Polo

arxiv:1006.2451 v2 · 2010-06-12 · 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{WG3H7TPOLU5B4JYUE7FMYAQG2E}

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.

Cited by

1 paper in Pith

Area bounds and gauge fixing: alternative canonical variables for loop gravity

Receipt and verification

First computed	2026-05-18T04:25:50.084294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b67fcdee5d3a1e271427cacc0206d139d9304f4e397cbf7515055608804f5f

Aliases

arxiv: 1006.2451 · arxiv_version: 1006.2451v2 · doi: 10.48550/arxiv.1006.2451 · pith_short_12: WG3H7TPOLU5B · pith_short_16: WG3H7TPOLU5B4JYU · pith_short_8: WG3H7TPO

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/WG3H7TPOLU5B4JYUE7FMYAQG2E \
  | 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: b1b67fcdee5d3a1e271427cacc0206d139d9304f4e397cbf7515055608804f5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3115ce9c58cf991856487e2c4d40d5de8b8aba49b56eef212c577c24a66c0180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-12T10:00:24Z",
    "title_canon_sha256": "da4619408ed5c0cff39f704c6af25d3780cac1544fa895b1a7cfbdeb5c6cc3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2451",
    "kind": "arxiv",
    "version": 2
  }
}