Pith Number

pith:BP4Q5EJZ

pith:2018:BP4Q5EJZCQBQVLNUPPR4WM44VO

not attested not anchored not stored refs pending

Solutions of the wave equation bounded at the Big Bang

Jorge Drumond Silva, Jos\'e Nat\'ario, Pedro M. Gir\~ao

arxiv:1809.09633 v3 · 2018-09-25 · gr-qc · math-ph · math.AP · 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{BP4Q5EJZCQBQVLNUPPR4WM44VO}

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	2026-05-17T23:51:05.469288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf90e913914030aadb47be3cb339cabba499cba0367fb44bdae682580f22b7e

Aliases

arxiv: 1809.09633 · arxiv_version: 1809.09633v3 · doi: 10.48550/arxiv.1809.09633 · pith_short_12: BP4Q5EJZCQBQ · pith_short_16: BP4Q5EJZCQBQVLNU · pith_short_8: BP4Q5EJZ

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/BP4Q5EJZCQBQVLNUPPR4WM44VO \
  | 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: 0bf90e913914030aadb47be3cb339cabba499cba0367fb44bdae682580f22b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2a8e312db5fcc3bfb2e5965110006694f98ac73ea00f58ee9145b1f5d07bb0",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-09-25T18:00:11Z",
    "title_canon_sha256": "8cadcddceb304e71c37d5a69aeb9988053e21c7db97f58aa8b7da24f3c76d353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09633",
    "kind": "arxiv",
    "version": 3
  }
}