Pith Number

pith:CQQM55OR

pith:1999:CQQM55OR7IABPDPQ2CMQCS4DIT

not attested not anchored not stored refs pending

On the factor ordering problem in stochastic inflation

Alexander Vilenkin (Tufts University)

arxiv:gr-qc/9902007 v1 · 1999-02-01 · gr-qc · hep-ph · 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{CQQM55OR7IABPDPQ2CMQCS4DIT}

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.

Cited by

1 paper in Pith

It\^{o}, Stratonovich, and zoom-in schemes in stochastic inflation

Receipt and verification

First computed	2026-05-18T01:08:01.152011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1420cef5d1fa00178df0d099014b8344e6e404de88169a1630da0b89e86d3db9

Aliases

arxiv: gr-qc/9902007 · arxiv_version: gr-qc/9902007v1 · doi: 10.48550/arxiv.gr-qc/9902007 · pith_short_12: CQQM55OR7IAB · pith_short_16: CQQM55OR7IABPDPQ · pith_short_8: CQQM55OR

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/CQQM55OR7IABPDPQ2CMQCS4DIT \
  | 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: 1420cef5d1fa00178df0d099014b8344e6e404de88169a1630da0b89e86d3db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2556a9e4bfb31e81927013feb9d9ad79523374afd5433d77cae29ada28e24c",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-02-01T19:54:53Z",
    "title_canon_sha256": "86ebfac690fb28161c2c4b85488a99db76bdeed57f972183da87879624492f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9902007",
    "kind": "arxiv",
    "version": 1
  }
}