Pith Number

pith:GDUA2U3I

pith:2016:GDUA2U3IKEHXUTA2ELJCCKSJUR

not attested not anchored not stored refs pending

Class of solutions of the Wheeler-DeWitt equation in the Friedmann-Robertson-Walker universe

H. S. Vieira, V. B. Bezerra

arxiv:1603.02236 v2 · 2016-03-07 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDUA2U3IKEHXUTA2ELJCCKSJUR}

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	2026-05-18T01:11:03.228950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e80d5368510f7a4c1a22d2212a49a474b1eb2d8526d103ca6051088ea31ac1

Aliases

arxiv: 1603.02236 · arxiv_version: 1603.02236v2 · doi: 10.48550/arxiv.1603.02236 · pith_short_12: GDUA2U3IKEHX · pith_short_16: GDUA2U3IKEHXUTA2 · pith_short_8: GDUA2U3I

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/GDUA2U3IKEHXUTA2ELJCCKSJUR \
  | 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: 30e80d5368510f7a4c1a22d2212a49a474b1eb2d8526d103ca6051088ea31ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4d7e45af1990df3337c2e7ab96d8ed1f1257a32de220e3aa3700c4b00377ec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-07T20:05:18Z",
    "title_canon_sha256": "2cf82f3d497f38a57b8993a99d6399771d745188c705965afce512d638f3c0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02236",
    "kind": "arxiv",
    "version": 2
  }
}