Pith Number

pith:BWQM5XQY

pith:1998:BWQM5XQY4URGZ7S5YH36IATOLC

not attested not anchored not stored refs pending

Nonstandard optics from quantum spacetime

Jorge Pullin, Rodolfo Gambini

arxiv:gr-qc/9809038 v1 · 1998-09-09 · 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{BWQM5XQY4URGZ7S5YH36IATOLC}

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

Crystallography, Lorentz violation, and the Standard-Model Extension

Receipt and verification

First computed	2026-07-04T16:08:51.694208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da0cede18e5226cfe5dc1f7e4026e58aa7a1ac889aec566249264b5c825f9d1

Aliases

arxiv: gr-qc/9809038 · arxiv_version: gr-qc/9809038v1 · doi: 10.48550/arxiv.gr-qc/9809038 · pith_short_12: BWQM5XQY4URG · pith_short_16: BWQM5XQY4URGZ7S5 · pith_short_8: BWQM5XQY

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/BWQM5XQY4URGZ7S5YH36IATOLC \
  | 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: 0da0cede18e5226cfe5dc1f7e4026e58aa7a1ac889aec566249264b5c825f9d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534b4251fe7a4dd9bb0c1c27132d79e3e8e99f1d70523c2bd2bc0ffaa516279d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-09-09T21:18:45Z",
    "title_canon_sha256": "1edb251ff98783fea671bbc79f34e9b356b14f05d7018651c64be85b6ae7f500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9809038",
    "kind": "arxiv",
    "version": 1
  }
}