Pith Number

pith:6NQ7F4BB

pith:2026:6NQ7F4BBOHCTKWK7B3SHOWDLFU

not attested not anchored not stored refs pending

Closed $4$--Manifolds Foliated by Hyperplanes

Harold Rosenberg, Jos\'e M. Espinar

arxiv:2606.08005 v1 · 2026-06-06 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NQ7F4BBOHCTKWK7B3SHOWDLFU}

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	2026-06-09T01:05:22.386639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f361f2f02171c535595f0ee477586b2d08fe98b11ed4db084470c2e712594b52

Aliases

arxiv: 2606.08005 · arxiv_version: 2606.08005v1 · doi: 10.48550/arxiv.2606.08005 · pith_short_12: 6NQ7F4BBOHCT · pith_short_16: 6NQ7F4BBOHCTKWK7 · pith_short_8: 6NQ7F4BB

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/6NQ7F4BBOHCTKWK7B3SHOWDLFU \
  | 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: f361f2f02171c535595f0ee477586b2d08fe98b11ed4db084470c2e712594b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437a6ffe54bbc7f1ca9428b71df399c810a4477f689c1283c180f89be8fbed09",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-06T06:46:33Z",
    "title_canon_sha256": "7d960a05a51bd2e9559deacc93217323c66934235e022ffd1fc54a11688b9aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08005",
    "kind": "arxiv",
    "version": 1
  }
}