Pith Number

pith:KOX7LX5J

pith:2017:KOX7LX5JYTR3ZZBWCZPECRACPU

not attested not anchored not stored refs pending

From path integrals to the Wheeler-DeWitt equation: Time evolution in spacetimes with a spatial boundary

Justin C. Feng, Richard A. Matzner

arxiv:1708.07001 v4 · 2017-08-21 · 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{KOX7LX5JYTR3ZZBWCZPECRACPU}

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	2026-05-18T00:30:41.769925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53aff5dfa9c4e3bce436165e4144027d127a8009a4c8b9c534d3e3968258354f

Aliases

arxiv: 1708.07001 · arxiv_version: 1708.07001v4 · doi: 10.48550/arxiv.1708.07001 · pith_short_12: KOX7LX5JYTR3 · pith_short_16: KOX7LX5JYTR3ZZBW · pith_short_8: KOX7LX5J

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/KOX7LX5JYTR3ZZBWCZPECRACPU \
  | 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: 53aff5dfa9c4e3bce436165e4144027d127a8009a4c8b9c534d3e3968258354f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afdfa5e14af9fe0b66d57f25292b7600327897b6093e612fa8c8382db4a77773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-08-21T20:48:31Z",
    "title_canon_sha256": "d19958cb6018f6e7e43c63fb52b9c844abe5221a706dee5fd0470c38e5fa2ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07001",
    "kind": "arxiv",
    "version": 4
  }
}