Pith Number

pith:3AQR3LSY

pith:2008:3AQR3LSYNV725RV5QDSIILR7XZ

not attested not anchored not stored refs pending

A classification of smooth embeddings of 4-manifolds in 7-space, II

Arkadiy Skopenkov, Diarmuid Crowley

arxiv:0808.1795 v3 · 2008-08-13 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AQR3LSYNV725RV5QDSIILR7XZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:04:33.110331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8211dae586d7faec6bd80e4842e3fbe4f07399a7639f38bb3d0e98275b30190

Aliases

arxiv: 0808.1795 · arxiv_version: 0808.1795v3 · doi: 10.48550/arxiv.0808.1795 · pith_short_12: 3AQR3LSYNV72 · pith_short_16: 3AQR3LSYNV725RV5 · pith_short_8: 3AQR3LSY

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/3AQR3LSYNV725RV5QDSIILR7XZ \
  | 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: d8211dae586d7faec6bd80e4842e3fbe4f07399a7639f38bb3d0e98275b30190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358c704e97d790b219a790b97c28fc68b302afb794a060b3e77c407d64a0317b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-08-13T17:35:02Z",
    "title_canon_sha256": "a030e8c116667b6b8bf1aeea930671b0d78a38b9f0a0d5444787cb277ce92bf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1795",
    "kind": "arxiv",
    "version": 3
  }
}