Pith Number

pith:4V6WCCIM

pith:2003:4V6WCCIMREHSWOTVZDTBJZFRL6

not attested not anchored not stored refs pending

The linearization of the Kodama state

Laurent Freidel, Lee Smolin

arxiv:hep-th/0310224 v3 · 2003-10-23 · hep-th · 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{4V6WCCIMREHSWOTVZDTBJZFRL6}

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	2026-07-04T16:41:26.381992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57d61090c890f2b3a75c8e614e4b15f9353b9b57601c48a8947f78feb1ac3c3

Aliases

arxiv: hep-th/0310224 · arxiv_version: hep-th/0310224v3 · doi: 10.48550/arxiv.hep-th/0310224 · pith_short_12: 4V6WCCIMREHS · pith_short_16: 4V6WCCIMREHSWOTV · pith_short_8: 4V6WCCIM

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/4V6WCCIMREHSWOTVZDTBJZFRL6 \
  | 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: e57d61090c890f2b3a75c8e614e4b15f9353b9b57601c48a8947f78feb1ac3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddedf0720a4985a3bd49c145d87618ac610c4e15858cb380291b16ff2ababd81",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-10-23T20:49:43Z",
    "title_canon_sha256": "8e0384ccd17b5dc5cf451047c5b90fca4a5dfb3e9e8cc596b1b2c84d0291f1e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0310224",
    "kind": "arxiv",
    "version": 3
  }
}