Pith Number

pith:YBWMQ3II

pith:2012:YBWMQ3IIBOR5MN4MUGDFX4A2LC

not attested not anchored not stored refs pending

From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity

Hanno Sahlmann, Kristina Giesel

arxiv:1203.2733 v2 · 2012-03-13 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBWMQ3IIBOR5MN4MUGDFX4A2LC}

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	2026-07-05T05:22:40.837303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06cc86d080ba3d6378ca1865bf01a58a429512250d7ec501267536339f17b34

Aliases

arxiv: 1203.2733 · arxiv_version: 1203.2733v2 · doi: 10.48550/arxiv.1203.2733 · pith_short_12: YBWMQ3IIBOR5 · pith_short_16: YBWMQ3IIBOR5MN4M · pith_short_8: YBWMQ3II

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/YBWMQ3IIBOR5MN4MUGDFX4A2LC \
  | 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: c06cc86d080ba3d6378ca1865bf01a58a429512250d7ec501267536339f17b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0353f9dc5757b84fdeb00b7c58e58ae943982e35b5518d51fa8332b35d33989",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-13T08:20:00Z",
    "title_canon_sha256": "08406721752cafee765e3479fcf55b1bbf45b29c8819c721d912a453b530b8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2733",
    "kind": "arxiv",
    "version": 2
  }
}