Pith Number

pith:LY5RUDU7

pith:1998:LY5RUDU7XYYRRKICY7OD6LZF25

not attested not anchored not stored refs pending

On relativistic spin network vertices

Michael P. Reisenberger

arxiv:gr-qc/9809067 v1 · 1998-09-23 · 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{LY5RUDU7XYYRRKICY7OD6LZF25}

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.

Cited by

1 paper in Pith

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

Receipt and verification

First computed	2026-05-18T01:39:18.355603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e3b1a0e9fbe3118a902c7dc3f2f25d762477eaf029d467e65d996fc20d08fdc

Aliases

arxiv: gr-qc/9809067 · arxiv_version: gr-qc/9809067v1 · doi: 10.48550/arxiv.gr-qc/9809067 · pith_short_12: LY5RUDU7XYYR · pith_short_16: LY5RUDU7XYYRRKIC · pith_short_8: LY5RUDU7

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/LY5RUDU7XYYRRKICY7OD6LZF25 \
  | 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: 5e3b1a0e9fbe3118a902c7dc3f2f25d762477eaf029d467e65d996fc20d08fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e65bdb5bcef9106f7cb7f655bf751c4a94682b7f6506dd6ec0e71904bb02063",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-09-23T19:37:36Z",
    "title_canon_sha256": "876161e2cade7043ac46be8990f8881e96621225ca15da70f5a18035962f95b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9809067",
    "kind": "arxiv",
    "version": 1
  }
}