Pith Number

pith:ILFKPFB4

pith:2005:ILFKPFB4DPIKN7NDIKHYO4SHKN

not attested not anchored not stored refs pending

Geometric Finiteness and Non-quasinormal Modes of the BTZ Black Hole

Kumar S. Gupta, Siddhartha Sen

arxiv:hep-th/0504175 v2 · 2005-04-21 · hep-th · 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{ILFKPFB4DPIKN7NDIKHYO4SHKN}

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	2026-07-04T16:56:09.658660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42caa7943c1bd0a6fda3428f877247534cf1b53b6359b1700fd687e2adf534c1

Aliases

arxiv: hep-th/0504175 · arxiv_version: hep-th/0504175v2 · doi: 10.48550/arxiv.hep-th/0504175 · pith_short_12: ILFKPFB4DPIK · pith_short_16: ILFKPFB4DPIKN7ND · pith_short_8: ILFKPFB4

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/ILFKPFB4DPIKN7NDIKHYO4SHKN \
  | 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: 42caa7943c1bd0a6fda3428f877247534cf1b53b6359b1700fd687e2adf534c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48ad2f282687addc86b9638e9b32a1a4e398091d20116bdc06510c1e114d3d1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-21T08:42:18Z",
    "title_canon_sha256": "a5e9f2db42894901c284db807b7a8a3522c78f94bfcb9e00cd8fe8d8308ef3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504175",
    "kind": "arxiv",
    "version": 2
  }
}