Pith Number

pith:L2D3QYVL

pith:2015:L2D3QYVLYJW4O7HOYQYOWKY5PX

not attested not anchored not stored refs pending

CR regular embeddings and immersions of compact orientable 4-manifolds into C3

Marko Slapar

arxiv:1501.07300 v3 · 2015-01-28 · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2D3QYVLYJW4O7HOYQYOWKY5PX}

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	2026-05-18T02:07:26.536580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e87b862abc26dc77ceec430eb2b1d7ddd9860bbad698dd77ce337d92a34752d

Aliases

arxiv: 1501.07300 · arxiv_version: 1501.07300v3 · doi: 10.48550/arxiv.1501.07300 · pith_short_12: L2D3QYVLYJW4 · pith_short_16: L2D3QYVLYJW4O7HO · pith_short_8: L2D3QYVL

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/L2D3QYVLYJW4O7HOYQYOWKY5PX \
  | 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: 5e87b862abc26dc77ceec430eb2b1d7ddd9860bbad698dd77ce337d92a34752d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd8761263a6315c420be00e970c90b5a424290286191ed53753e3a69283a993",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-28T22:16:44Z",
    "title_canon_sha256": "4a500b21bd9c6ea903fc88d8f3718d48cad92c0fa96f97e1ce4ff4d080671bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07300",
    "kind": "arxiv",
    "version": 3
  }
}