Pith Number

pith:2QGFVX6O

pith:2016:2QGFVX6OBD2XYVPHIBIHD2IGXC

not attested not anchored not stored refs pending

On Generalized Heawood Inequalities for Manifolds: a van Kampen--Flores-type Nonembeddability Result

and Isaac Mabillard, Martin Tancer, Pavel Pat\'ak, Uli Wagner, Xavier Goaoc, Zuzana Pat\'akov\'a

arxiv:1610.09063 v1 · 2016-10-28 · 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{2QGFVX6OBD2XYVPHIBIHD2IGXC}

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	2026-05-18T01:00:59.276882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40c5adfce08f57c55e7405071e906b8bab0a9f22ea7e849f403b8422d88404d

Aliases

arxiv: 1610.09063 · arxiv_version: 1610.09063v1 · doi: 10.48550/arxiv.1610.09063 · pith_short_12: 2QGFVX6OBD2X · pith_short_16: 2QGFVX6OBD2XYVPH · pith_short_8: 2QGFVX6O

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/2QGFVX6OBD2XYVPHIBIHD2IGXC \
  | 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: d40c5adfce08f57c55e7405071e906b8bab0a9f22ea7e849f403b8422d88404d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf8e54e3eeb9c4d681c8582c117ea24fc7c61aa33c811abe00f3c1ea0086f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-28T02:46:53Z",
    "title_canon_sha256": "a5fad21e41727107b71fcbb03f92ff9959d0f9e5bed5c801bc314ce6ec5412d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09063",
    "kind": "arxiv",
    "version": 1
  }
}