Pith Number

pith:2ULTQTA6

pith:2001:2ULTQTA6W2VNCAYRN45XV6NFBV

not attested not anchored not stored refs pending

2d manifold-independent spinfoam theory

Alejandro Perez, Carlo Rovelli, Etera R. Livine

arxiv:gr-qc/0102051 v2 · 2001-02-12 · 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{2ULTQTA6W2VNCAYRN45XV6NFBV}

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	2026-07-04T14:25:21.344797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d517384c1eb6aad103116f3b7af9a50d592d1d6fe0e93e3e9d3bbda36e4dc6c6

Aliases

arxiv: gr-qc/0102051 · arxiv_version: gr-qc/0102051v2 · doi: 10.48550/arxiv.gr-qc/0102051 · pith_short_12: 2ULTQTA6W2VN · pith_short_16: 2ULTQTA6W2VNCAYR · pith_short_8: 2ULTQTA6

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/2ULTQTA6W2VNCAYRN45XV6NFBV \
  | 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: d517384c1eb6aad103116f3b7af9a50d592d1d6fe0e93e3e9d3bbda36e4dc6c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbbbb4c7f90be00d5d5af50b406dea74fea395c2f043f42f592a71df49d17b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-12T19:38:15Z",
    "title_canon_sha256": "c9f6df86464d558011e330630696596183c7e2a72ba4d348c5e3206cdb6f447e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102051",
    "kind": "arxiv",
    "version": 2
  }
}