Pith Number

pith:H36P5JHV

pith:2026:H36P5JHVZX6RDJIXZ7ZG7EC37B

not attested not anchored not stored refs pending

Warped Product Einstein Manifolds in Four Dimensions

Fedor V. Kusmartsev, Jack C. M. Hughes, Joudy F. Jamal Beek

arxiv:2606.08047 v1 · 2026-06-06 · 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{H36P5JHVZX6RDJIXZ7ZG7EC37B}

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	2026-06-09T01:05:24.413893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3efcfea4f5cdfd11a517cff26f905bf86bdb7bbe5bd369051850730936af9e6c

Aliases

arxiv: 2606.08047 · arxiv_version: 2606.08047v1 · doi: 10.48550/arxiv.2606.08047 · pith_short_12: H36P5JHVZX6R · pith_short_16: H36P5JHVZX6RDJIX · pith_short_8: H36P5JHV

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/H36P5JHVZX6RDJIXZ7ZG7EC37B \
  | 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: 3efcfea4f5cdfd11a517cff26f905bf86bdb7bbe5bd369051850730936af9e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f197cd94ea0c13fd82c4619568fdc034dd490dab4a09696cbe7d18c764edc26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-06T08:20:56Z",
    "title_canon_sha256": "ec8cbafb222bbd0b4fb8b4e49ede3288eb025e7dc785c61c9ab2664e6220c724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08047",
    "kind": "arxiv",
    "version": 1
  }
}