Pith Number

pith:ESYFSTCT

pith:2012:ESYFSTCTBB7QWFB5MKYETQ2ZY3

not attested not anchored not stored refs pending

A remark about wave equations on the extreme Reissner-Nordstr\"om black hole exterior

Helmut Friedrich, Piotr Bizo\'n

arxiv:1212.0729 v2 · 2012-12-04 · 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{ESYFSTCTBB7QWFB5MKYETQ2ZY3}

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	2026-05-18T03:33:13.620251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b0594c53087f0b143d62b049c359c6e63545d504e33b15b50a68d9baca7f78

Aliases

arxiv: 1212.0729 · arxiv_version: 1212.0729v2 · doi: 10.48550/arxiv.1212.0729 · pith_short_12: ESYFSTCTBB7Q · pith_short_16: ESYFSTCTBB7QWFB5 · pith_short_8: ESYFSTCT

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/ESYFSTCTBB7QWFB5MKYETQ2ZY3 \
  | 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: 24b0594c53087f0b143d62b049c359c6e63545d504e33b15b50a68d9baca7f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506321c1f91073326c58ddef576690ee3087ad10a69d664a575d13a53ce30b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-04T14:12:13Z",
    "title_canon_sha256": "4f71b6504639cbd86a9b0518ecb15ff549da11ae2a583505ab9a9b3a8bd5af0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0729",
    "kind": "arxiv",
    "version": 2
  }
}