Pith Number

pith:OICAPNNQ

pith:2001:OICAPNNQP6RYW54W55MQPROOD7

not attested not anchored not stored refs pending

Integro-differential equation for brane-world cosmological perturbations

Shinji Mukohyama

arxiv:hep-th/0104185 v4 · 2001-04-23 · 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{OICAPNNQP6RYW54W55MQPROOD7}

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	2026-05-18T02:36:12.268660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720407b5b07fa38b7796ef5907c5ce1fd8b3cf27fceb0dec145b0ba71e6b9d24

Aliases

arxiv: hep-th/0104185 · arxiv_version: hep-th/0104185v4 · doi: 10.48550/arxiv.hep-th/0104185 · pith_short_12: OICAPNNQP6RY · pith_short_16: OICAPNNQP6RYW54W · pith_short_8: OICAPNNQ

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/OICAPNNQP6RYW54W55MQPROOD7 \
  | 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: 720407b5b07fa38b7796ef5907c5ce1fd8b3cf27fceb0dec145b0ba71e6b9d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e919af9d8ac24d2e9a4d1cb8f5bbc983a95c1f44e33aeb2b8c6395cdc41ebe2c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-04-23T10:13:35Z",
    "title_canon_sha256": "5f3264c0308e1978248173877a290607084853bfa5dfabbd020cfc6a32478958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0104185",
    "kind": "arxiv",
    "version": 4
  }
}