Pith Number

pith:DPTCKTDJ

pith:2009:DPTCKTDJLBZZ5HU4IDS3NLV3LN

not attested not anchored not stored refs pending

On the Relation between Operator Constraint --, Master Constraint --, Reduced Phase Space --, and Path Integral Quantisation

Muxin Han, Thomas Thiemann

arxiv:0911.3428 v1 · 2009-11-17 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPTCKTDJLBZZ5HU4IDS3NLV3LN}

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	2026-05-18T04:38:14.332195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1be6254c6958739e9e9c40e5b6aebb5b432e33b4fd43657c0767f6ebec11ccde

Aliases

arxiv: 0911.3428 · arxiv_version: 0911.3428v1 · doi: 10.48550/arxiv.0911.3428 · pith_short_12: DPTCKTDJLBZZ · pith_short_16: DPTCKTDJLBZZ5HU4 · pith_short_8: DPTCKTDJ

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/DPTCKTDJLBZZ5HU4IDS3NLV3LN \
  | 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: 1be6254c6958739e9e9c40e5b6aebb5b432e33b4fd43657c0767f6ebec11ccde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfcc9786e0c53da03e7090358562db6ce8c911f83b267b8b6fbd2f7c608f109",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-17T23:51:46Z",
    "title_canon_sha256": "f4a57852f9dfcf514a8288c0909a94174312bd3bf19bc5f2ccd28b665bcd1738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3428",
    "kind": "arxiv",
    "version": 1
  }
}