Pith Number

pith:DFPT57BL

pith:2015:DFPT57BLB5CNUWBVM3XBL77GLS

not attested not anchored not stored refs pending

An obstruction to embedding $2$-dimensional complexes into the $3$-sphere

Kazufumi Eto, Makoto Ozawa, Shosaku Matsuzaki

arxiv:1503.02170 v2 · 2015-03-07 · math.GT · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFPT57BLB5CNUWBVM3XBL77GLS}

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	2026-05-18T02:20:02.615102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195f3efc2b0f44da583566ee15ffe65c87f8e7293a55160f726b9310019a4a59

Aliases

arxiv: 1503.02170 · arxiv_version: 1503.02170v2 · doi: 10.48550/arxiv.1503.02170 · pith_short_12: DFPT57BLB5CN · pith_short_16: DFPT57BLB5CNUWBV · pith_short_8: DFPT57BL

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/DFPT57BLB5CNUWBVM3XBL77GLS \
  | 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: 195f3efc2b0f44da583566ee15ffe65c87f8e7293a55160f726b9310019a4a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59498d7ca8999f015545c38a3b2249da31f699ec402ef2a5d3c60cc011fcd26f",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-07T13:29:21Z",
    "title_canon_sha256": "5c0bafff0336a80cedebb05b88466ba3e64016eb8573474169eaf28b8aefdc43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02170",
    "kind": "arxiv",
    "version": 2
  }
}