Pith Number

pith:YFXUOFQD

pith:2015:YFXUOFQDNQ6UBFLUUKYDM5GVW5

not attested not anchored not stored refs pending

On problems of Danzer and Gowers and dynamics on the space of closed subsets of $\mathbb{R}^d$

Barak Weiss, Omri Solan, Yaar Solomon

arxiv:1510.07179 v1 · 2015-10-24 · math.DS · 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{YFXUOFQDNQ6UBFLUUKYDM5GVW5}

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	2026-05-18T01:29:19.765812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c16f4716036c3d409574a2b03674d5b7757939b1fb2ab8344e42a390d4ce8139

Aliases

arxiv: 1510.07179 · arxiv_version: 1510.07179v1 · doi: 10.48550/arxiv.1510.07179 · pith_short_12: YFXUOFQDNQ6U · pith_short_16: YFXUOFQDNQ6UBFLU · pith_short_8: YFXUOFQD

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/YFXUOFQDNQ6UBFLUUKYDM5GVW5 \
  | 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: c16f4716036c3d409574a2b03674d5b7757939b1fb2ab8344e42a390d4ce8139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfcd3a82ab9adaf7395e5bd77624b9380c675c58c0ab004198f8299500029aee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-24T19:47:46Z",
    "title_canon_sha256": "19c96daecd69a0502e4525b49b9c23c9e9522c139536fe6af5101d75bab8d820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07179",
    "kind": "arxiv",
    "version": 1
  }
}