Pith Number

pith:QASFH2I3

pith:2012:QASFH2I3ZBHNKI52JYOWEKDRC5

not attested not anchored not stored refs pending

The wave equation on the extreme Reissner-Nordstr\"om black hole

Gustavo Dotti, Sergio Dain

arxiv:1209.0213 v4 · 2012-09-02 · 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{QASFH2I3ZBHNKI52JYOWEKDRC5}

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	2026-05-18T03:34:48.133511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802453e91bc84ed523ba4e1d6228711773051f9eaa1efc1e79dca4691a6632d0

Aliases

arxiv: 1209.0213 · arxiv_version: 1209.0213v4 · doi: 10.48550/arxiv.1209.0213 · pith_short_12: QASFH2I3ZBHN · pith_short_16: QASFH2I3ZBHNKI52 · pith_short_8: QASFH2I3

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/QASFH2I3ZBHNKI52JYOWEKDRC5 \
  | 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: 802453e91bc84ed523ba4e1d6228711773051f9eaa1efc1e79dca4691a6632d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "034dd3833b03ef82a0ebc9c59d14f9cd0f209fd5fbe04982490c2f0ee7594c01",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-02T20:48:27Z",
    "title_canon_sha256": "93025f88f0b60e9e15022ffaa6246968335a62a28b6bca5c51eb12551461a73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0213",
    "kind": "arxiv",
    "version": 4
  }
}