Pith Number

pith:TTM6JJX3

pith:2013:TTM6JJX3T7TCTOCPRPZHRPAX5B

not attested not anchored not stored refs pending

An approach to the quantization of black-hole quasi-normal modes

Karthik Rajeev (IISER-TVM), Soham Pal (ISU), S. Shankaranarayanan (IISER-TVM)

arxiv:1312.5689 v2 · 2013-12-19 · gr-qc · cond-mat.stat-mech · hep-th · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTM6JJX3T7TCTOCPRPZHRPAX5B}

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	2026-05-18T01:32:41.990179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd9e4a6fb9fe629b84f8bf278bc17e858cf8c5cc399d20792aefe5842445ac7

Aliases

arxiv: 1312.5689 · arxiv_version: 1312.5689v2 · doi: 10.48550/arxiv.1312.5689 · pith_short_12: TTM6JJX3T7TC · pith_short_16: TTM6JJX3T7TCTOCP · pith_short_8: TTM6JJX3

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/TTM6JJX3T7TCTOCPRPZHRPAX5B \
  | 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: 9cd9e4a6fb9fe629b84f8bf278bc17e858cf8c5cc399d20792aefe5842445ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e44aa935f8785b6c2dac2b8fddb34718b062a61b433f1fde68e972160b97d3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-19T18:37:57Z",
    "title_canon_sha256": "fcd82b966fe022ef0edb2f36ffa47fa403869c8936aeb165bc82675460c707e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5689",
    "kind": "arxiv",
    "version": 2
  }
}