Pith Number

pith:MVPKZWVS

pith:2009:MVPKZWVS7UXS6Q7TVQ4B6VSK6T

not attested not anchored not stored refs pending

Theorems of Borsuk-Ulam type for flats and common transversals

R.N. Karasev

arxiv:0905.2747 v3 · 2009-05-17 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVPKZWVS7UXS6Q7TVQ4B6VSK6T}

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	2026-05-18T04:18:53.407267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

655eacdab2fd2f2f43f3ac381f564af4c78b0a633be10c2a2d077944126753b0

Aliases

arxiv: 0905.2747 · arxiv_version: 0905.2747v3 · doi: 10.48550/arxiv.0905.2747 · pith_short_12: MVPKZWVS7UXS · pith_short_16: MVPKZWVS7UXS6Q7T · pith_short_8: MVPKZWVS

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/MVPKZWVS7UXS6Q7TVQ4B6VSK6T \
  | 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: 655eacdab2fd2f2f43f3ac381f564af4c78b0a633be10c2a2d077944126753b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585e80e3b4a44ca3abfc03435458ef4147e4b8a196556cadf947a760acc58e38",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-17T16:30:01Z",
    "title_canon_sha256": "cc44fe53e0f43de0eef02390f4e860db32945c57b78212d2b78d6f359ebaf803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2747",
    "kind": "arxiv",
    "version": 3
  }
}