Pith Number

pith:UDYBAU6J

pith:2025:UDYBAU6J5SXJZOXEKLH3L5KOWQ

not attested not anchored not stored refs pending

Semilinear wave equations on extremal Reissner-Nordstr\"om black holes revisited

Ryan Unger, Yannis Angelopoulos

arxiv:2502.00210 v2 · 2025-01-31 · math.AP · gr-qc · math-ph · math.DG · 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{UDYBAU6J5SXJZOXEKLH3L5KOWQ}

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	2026-07-05T11:49:06.778415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f01053c9ecae9cbae452cfb5f54eb4131285d6864f4a63d9cdedf870b82725

Aliases

arxiv: 2502.00210 · arxiv_version: 2502.00210v2 · doi: 10.48550/arxiv.2502.00210 · pith_short_12: UDYBAU6J5SXJ · pith_short_16: UDYBAU6J5SXJZOXE · pith_short_8: UDYBAU6J

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/UDYBAU6J5SXJZOXEKLH3L5KOWQ \
  | 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: a0f01053c9ecae9cbae452cfb5f54eb4131285d6864f4a63d9cdedf870b82725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5fa281ee8ef3ec3a7a0d175e4a31a15b533bb78df6185a91c3f997e11a1ead7",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-31T22:56:24Z",
    "title_canon_sha256": "7d0a016e3be3e4fe7a256a592d99611d5fd2a9dcd9dee66d5422fdeddcc2023f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00210",
    "kind": "arxiv",
    "version": 2
  }
}