Pith Number

pith:TDKOPVDE

pith:2001:TDKOPVDEUTQVUUTHPJO7I5DXPB

not attested not anchored not stored refs pending

Relational time in generally covariant quantum systems: four models

Rafael A. Porto, Rodolfo Gambini

arxiv:gr-qc/0101057 v1 · 2001-01-15 · 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{TDKOPVDEUTQVUUTHPJO7I5DXPB}

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

2 papers in Pith

Localization and anomalous reference frames in gravity

Gravitational null rays: Covariant Quantization and the Dressing Time

Receipt and verification

First computed	2026-07-04T16:26:51.673211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d4e7d464a4e15a52677a5df47477787bb5a720fc0c8b383900b4a943348451

Aliases

arxiv: gr-qc/0101057 · arxiv_version: gr-qc/0101057v1 · doi: 10.48550/arxiv.gr-qc/0101057 · pith_short_12: TDKOPVDEUTQV · pith_short_16: TDKOPVDEUTQVUUTH · pith_short_8: TDKOPVDE

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/TDKOPVDEUTQVUUTHPJO7I5DXPB \
  | 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: 98d4e7d464a4e15a52677a5df47477787bb5a720fc0c8b383900b4a943348451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f95cad90e273617d2722d753bc6ef25767351a0f847a5964a52c686392b1f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-01-15T13:30:10Z",
    "title_canon_sha256": "dff817f4770932c4fc15dfec9f7f9bd2816a4a1245d31e25105eeca9b9add81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0101057",
    "kind": "arxiv",
    "version": 1
  }
}