Pith Number

pith:VLXKIKR3

pith:2012:VLXKIKR3YEQY7OWPNRETJ7Q5PN

not attested not anchored not stored refs pending

A Kolmogorov-Zakharov Spectrum in $AdS$ Gravitational Collapse

E. L. Rodrigues, H. P. de Oliveira, Leopoldo A. Pando Zayas

arxiv:1209.2369 v2 · 2012-09-11 · 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{VLXKIKR3YEQY7OWPNRETJ7Q5PN}

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	2026-05-18T03:16:27.220066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaeea42a3bc1218fbacf6c4934fe1d7b568e3d2778c6864b17afc5ffb568c196

Aliases

arxiv: 1209.2369 · arxiv_version: 1209.2369v2 · doi: 10.48550/arxiv.1209.2369 · pith_short_12: VLXKIKR3YEQY · pith_short_16: VLXKIKR3YEQY7OWP · pith_short_8: VLXKIKR3

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/VLXKIKR3YEQY7OWPNRETJ7Q5PN \
  | 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: aaeea42a3bc1218fbacf6c4934fe1d7b568e3d2778c6864b17afc5ffb568c196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73390ba749000ec83d3d499cab024ba08129bfa4608dfd6e9b845742df8e0ad8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-09-11T17:06:55Z",
    "title_canon_sha256": "218ff1d2ba7903afc358ce5b4a882b8cb559b06e4716a3433dd4eb22f871a02b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2369",
    "kind": "arxiv",
    "version": 2
  }
}