Pith Number

pith:FEZUMHL5

pith:2026:FEZUMHL56DQ7SIN2NE42JJAWZL

not attested not anchored not stored refs pending

Cohomogeneity-one Einstein metrics on closed $4$-manifolds

Kyle Broder

arxiv:2605.24859 v1 · 2026-05-24 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEZUMHL56DQ7SIN2NE42JJAWZL}

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	2026-05-26T01:04:02.027673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2933461d7df0e1f921ba6939a4a416cadf1cab3cb9c226bee41f62cb3ec25350

Aliases

arxiv: 2605.24859 · arxiv_version: 2605.24859v1 · doi: 10.48550/arxiv.2605.24859 · pith_short_12: FEZUMHL56DQ7 · pith_short_16: FEZUMHL56DQ7SIN2 · pith_short_8: FEZUMHL5

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/FEZUMHL56DQ7SIN2NE42JJAWZL \
  | 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: 2933461d7df0e1f921ba6939a4a416cadf1cab3cb9c226bee41f62cb3ec25350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6cdd7ed215e8f28c7161c6c8131e092dd5adbd64352b23ed0dcd79526840184",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-24T04:28:41Z",
    "title_canon_sha256": "d8a0416d4f3418e77d5d18dd037b975f92781c8fab55ea7e5ccac377e2f1b773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24859",
    "kind": "arxiv",
    "version": 1
  }
}