Pith Number

pith:DUBS44C6

pith:2019:DUBS44C6VKUIE3DJIFPAWYMTGS

not attested not anchored not stored refs pending

Embeddings of $k$-complexes into $2k$-manifolds

Martin Tancer, Pavel Pat\'ak

arxiv:1904.02404 v4 · 2019-04-04 · math.AT · cs.CG · 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{DUBS44C6VKUIE3DJIFPAWYMTGS}

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.

Cited by

1 paper in Pith

Bounding Radon numbers via Betti numbers

Receipt and verification

First computed	2026-07-05T03:49:06.520451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d032e705eaaa8826c69415e0b619334897b5ee3547a760132c740f338fefec0

Aliases

arxiv: 1904.02404 · arxiv_version: 1904.02404v4 · doi: 10.48550/arxiv.1904.02404 · pith_short_12: DUBS44C6VKUI · pith_short_16: DUBS44C6VKUIE3DJ · pith_short_8: DUBS44C6

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/DUBS44C6VKUIE3DJIFPAWYMTGS \
  | 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: 1d032e705eaaa8826c69415e0b619334897b5ee3547a760132c740f338fefec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "449add0c45d6442e0f36464ea6da0c84260b6f5be53543a07d91c96b56efd1db",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-04-04T08:30:23Z",
    "title_canon_sha256": "80d94d362b895456acb40d81acfd39e2573b13d84a7cfbb739677be244ef91a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02404",
    "kind": "arxiv",
    "version": 4
  }
}