Pith Number

pith:PKKDUY34

pith:2000:PKKDUY34OCGV7DT2GTJYNZUAMP

not attested not anchored not stored refs pending

Cosmological Perturbations in Brane Worlds: Brane Bending and Anisotropic Stresses

C. van de Bruck, M. Dorca

arxiv:hep-th/0012116 v1 · 2000-12-13 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKKDUY34OCGV7DT2GTJYNZUAMP}

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	2026-07-04T16:21:08.598353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a943a637c708d5f8e7a34d386e68063df6bfb410665ef10604a7ce528ac6e2e

Aliases

arxiv: hep-th/0012116 · arxiv_version: hep-th/0012116v1 · doi: 10.48550/arxiv.hep-th/0012116 · pith_short_12: PKKDUY34OCGV · pith_short_16: PKKDUY34OCGV7DT2 · pith_short_8: PKKDUY34

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/PKKDUY34OCGV7DT2GTJYNZUAMP \
  | 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: 7a943a637c708d5f8e7a34d386e68063df6bfb410665ef10604a7ce528ac6e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd421aae76bfa667b6180255cb20dff8426ae1baf1dde91387d3e9dbf07976f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-13T16:33:11Z",
    "title_canon_sha256": "7885ecb8572ec020ea7b209acfb67d9341abfb07f0009be250526223edf457e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012116",
    "kind": "arxiv",
    "version": 1
  }
}