Pith Number

pith:Q3T7YFEJ

pith:2003:Q3T7YFEJUPGRYPRWCRLVUXIO2G

not attested not anchored not stored refs pending

The Phoenix Project: Master Constraint Programme for Loop Quantum Gravity

Thomas Thiemann

arxiv:gr-qc/0305080 v1 · 2003-05-21 · gr-qc · hep-th · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3T7YFEJUPGRYPRWCRLVUXIO2G}

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	2026-05-18T04:18:14.227667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e7fc1489a3cd1c3e3614575a5d0ed1adacb0bb083448ba7bab887e957afec1

Aliases

arxiv: gr-qc/0305080 · arxiv_version: gr-qc/0305080v1 · doi: 10.48550/arxiv.gr-qc/0305080 · pith_short_12: Q3T7YFEJUPGR · pith_short_16: Q3T7YFEJUPGRYPRW · pith_short_8: Q3T7YFEJ

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/Q3T7YFEJUPGRYPRWCRLVUXIO2G \
  | 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: 86e7fc1489a3cd1c3e3614575a5d0ed1adacb0bb083448ba7bab887e957afec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376360dada9de87866e5eebf585328741c2dc0d481c5c22c61a93141f07262fd",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-05-21T16:07:14Z",
    "title_canon_sha256": "2708dd9d20b48e3c15ffd75ad55483ddbbf82baaca528943bb638558e63153d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0305080",
    "kind": "arxiv",
    "version": 1
  }
}