Pith Number

pith:U5YIZDDO

pith:2009:U5YIZDDOPQJXQD4VD642WG3H5V

not attested not anchored not stored refs pending

Asymptotics of linearized cosmological perturbations

Alan D. Rendall, Paul T. Allen

arxiv:0906.2517 v1 · 2009-06-14 · math.AP · 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{U5YIZDDOPQJXQD4VD642WG3H5V}

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	2026-07-04T15:43:50.297941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7708c8c6e7c13780f951fb9ab1b67ed48f689433b2219cdbd1c017ff83205a8

Aliases

arxiv: 0906.2517 · arxiv_version: 0906.2517v1 · doi: 10.48550/arxiv.0906.2517 · pith_short_12: U5YIZDDOPQJX · pith_short_16: U5YIZDDOPQJXQD4V · pith_short_8: U5YIZDDO

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/U5YIZDDOPQJXQD4VD642WG3H5V \
  | 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: a7708c8c6e7c13780f951fb9ab1b67ed48f689433b2219cdbd1c017ff83205a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae999b2a460e46402534893654e7fd08c3ae6c5032b689b0ae969d575fd68ab",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-14T05:58:50Z",
    "title_canon_sha256": "0a2af2497d8ecb2595007aba7704c069effa756955a4d586dff855bbdfe6195c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2517",
    "kind": "arxiv",
    "version": 1
  }
}