Pith Number

pith:GOAT6GWW

pith:2008:GOAT6GWWRCIYVIPNU6CVV6WSGO

not attested not anchored not stored refs pending

Generalised perturbation equations in bouncing cosmologies

Antonio Cardoso, David Wands

arxiv:0801.1667 v2 · 2008-01-10 · hep-th · astro-ph · 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{GOAT6GWWRCIYVIPNU6CVV6WSGO}

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	2026-07-04T15:30:53.216208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33813f1ad688918aa1eda7855afad233817e095a00426507b42c283a16d1bcff

Aliases

arxiv: 0801.1667 · arxiv_version: 0801.1667v2 · doi: 10.48550/arxiv.0801.1667 · pith_short_12: GOAT6GWWRCIY · pith_short_16: GOAT6GWWRCIYVIPN · pith_short_8: GOAT6GWW

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/GOAT6GWWRCIYVIPNU6CVV6WSGO \
  | 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: 33813f1ad688918aa1eda7855afad233817e095a00426507b42c283a16d1bcff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be3ca4a39978dad5e835b180bec605b28bbbc8753931d055b1696709a9b5c0aa",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-01-10T21:00:04Z",
    "title_canon_sha256": "ab9b0db451c1addc5694eb60efb235e72608785ecc65a8512b111b21fc08f476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1667",
    "kind": "arxiv",
    "version": 2
  }
}