Pith Number

pith:ZZCFCBXQ

pith:2010:ZZCFCBXQJGO5KJOHR2NT764KRL

not attested not anchored not stored refs pending

On the Borsuk number of four-dimensional sets

Zsolt Langi

arxiv:1007.2518 v2 · 2010-07-15 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZCFCBXQJGO5KJOHR2NT764KRL}

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	2026-05-18T04:42:22.986628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce445106f0499dd525c78e9b3ffb8a8ad9cb04c8069c0ebc79d9f704ebc28f80

Aliases

arxiv: 1007.2518 · arxiv_version: 1007.2518v2 · doi: 10.48550/arxiv.1007.2518 · pith_short_12: ZZCFCBXQJGO5 · pith_short_16: ZZCFCBXQJGO5KJOH · pith_short_8: ZZCFCBXQ

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/ZZCFCBXQJGO5KJOHR2NT764KRL \
  | 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: ce445106f0499dd525c78e9b3ffb8a8ad9cb04c8069c0ebc79d9f704ebc28f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1cdc3cb8c665a001b76b220e00ea5e0ea600b19fce1d121b4c83b97343d26a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-07-15T09:59:58Z",
    "title_canon_sha256": "c6a40cb53c98ac748447a4d61ec2daa220f89e17e263a1a6167de10264ac3a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2518",
    "kind": "arxiv",
    "version": 2
  }
}