Pith Number

pith:X6SWKS4X

pith:2010:X6SWKS4X3CPLZBZTNWV2VBJM5W

not attested not anchored not stored refs pending

Casting Loop Quantum Cosmology in the Spin Foam Paradigm

Abhay Ashtekar, Adam Henderson, Miguel Campiglia

arxiv:1001.5147 v2 · 2010-01-28 · 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{X6SWKS4X3CPLZBZTNWV2VBJM5W}

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	2026-05-18T04:31:11.907768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa5654b97d89ebc87336dabaa852ced9322169c47b810890393bb0d7a9c4641

Aliases

arxiv: 1001.5147 · arxiv_version: 1001.5147v2 · doi: 10.48550/arxiv.1001.5147 · pith_short_12: X6SWKS4X3CPL · pith_short_16: X6SWKS4X3CPLZBZT · pith_short_8: X6SWKS4X

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/X6SWKS4X3CPLZBZTNWV2VBJM5W \
  | 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: bfa5654b97d89ebc87336dabaa852ced9322169c47b810890393bb0d7a9c4641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9023e4f9713329ad1376205314f99d134753f296ae5fb0ada7e266a98a47d22e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-28T17:16:39Z",
    "title_canon_sha256": "427b5e56f702a2ac1ffdf38f914154d4191a08a4fb275da9249fd0d662767fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5147",
    "kind": "arxiv",
    "version": 2
  }
}