Pith Number

pith:DDCFSF6O

pith:2025:DDCFSF6OZMROHT6Z4M24MTFW6Z

not attested not anchored not stored refs pending

Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST

Henry Maxfield, Jesse Held

arxiv:2509.05412 v3 · 2025-09-05 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDCFSF6OZMROHT6Z4M24MTFW6Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:39:17.586426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c45917cecb22e3cfd9e335c64cb6f679b6aebf83113e7452845ede09db4966

Aliases

arxiv: 2509.05412 · arxiv_version: 2509.05412v3 · doi: 10.48550/arxiv.2509.05412 · pith_short_12: DDCFSF6OZMRO · pith_short_16: DDCFSF6OZMROHT6Z · pith_short_8: DDCFSF6O

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/DDCFSF6OZMROHT6Z4M24MTFW6Z \
  | 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: 18c45917cecb22e3cfd9e335c64cb6f679b6aebf83113e7452845ede09db4966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493aec29d5625c77334571f6fa596f271d68c88a01bf56a6d70b3472e14ad639",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-05T18:00:04Z",
    "title_canon_sha256": "2f4934ee64f45fb51019dc7ecd15010f4fe5e380c51adcb912de4e6a1292a912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05412",
    "kind": "arxiv",
    "version": 3
  }
}