Pith Number

pith:J6BI6HVP

pith:1998:J6BI6HVPJCQLMB4PUSPAFEJDRH

not attested not anchored not stored refs pending

Discrete Approaches Towards the Definition of a Quantum Theory of Gravity

Gabriele Gionti

arxiv:gr-qc/9812080 v1 · 1998-12-22 · 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{J6BI6HVPJCQLMB4PUSPAFEJDRH}

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	2026-05-18T01:06:44.141425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f828f1eaf48a0b6078fa49e02912389db9837889e8c49e2421996e4cdc59d41

Aliases

arxiv: gr-qc/9812080 · arxiv_version: gr-qc/9812080v1 · doi: 10.48550/arxiv.gr-qc/9812080 · pith_short_12: J6BI6HVPJCQL · pith_short_16: J6BI6HVPJCQLMB4P · pith_short_8: J6BI6HVP

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/J6BI6HVPJCQLMB4PUSPAFEJDRH \
  | 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: 4f828f1eaf48a0b6078fa49e02912389db9837889e8c49e2421996e4cdc59d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55529af914dce8b1248c356232d33d2861872e58c1738dd2dd9d167435d3060d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-12-22T11:41:25Z",
    "title_canon_sha256": "8f97e46d92f07c0198666f1ad2c90ab5b07ca4964ed5580cd836cb4b15f7a851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9812080",
    "kind": "arxiv",
    "version": 1
  }
}