Pith Number

pith:WKM3IKP3

pith:2015:WKM3IKP3YYMUOLJGUMWU2SUNXZ

not attested not anchored not stored refs pending

A superspace description of Friedmann-Robertson-Walker models

Sudhaker Upadhyay

arxiv:1507.08531 v1 · 2015-07-23 · gr-qc · 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{WKM3IKP3YYMUOLJGUMWU2SUNXZ}

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	2026-05-18T01:31:29.681050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b299b429fbc619472d26a32d4d4a8dbe493a450a5f48f7e9e6985000c6997827

Aliases

arxiv: 1507.08531 · arxiv_version: 1507.08531v1 · doi: 10.48550/arxiv.1507.08531 · pith_short_12: WKM3IKP3YYMU · pith_short_16: WKM3IKP3YYMUOLJG · pith_short_8: WKM3IKP3

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/WKM3IKP3YYMUOLJGUMWU2SUNXZ \
  | 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: b299b429fbc619472d26a32d4d4a8dbe493a450a5f48f7e9e6985000c6997827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b9647f1f4ae01f9153e87b60598a2feb324ddc2028ad8f77d6ea0fa6da403f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-23T10:12:02Z",
    "title_canon_sha256": "6927ec92fd1c7d536fa324b4f05cd0747d0c6f93c6525b399f29cb98e8c35972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08531",
    "kind": "arxiv",
    "version": 1
  }
}