Pith Number

pith:QUL4U3SJ

pith:2016:QUL4U3SJ3GOSLCELPG3SNJMGCZ

not attested not anchored not stored refs pending

Minkowski complexes and convex threshold dimension

Florian Frick, Raman Sanyal

arxiv:1607.07814 v2 · 2016-07-26 · math.CO · 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{QUL4U3SJ3GOSLCELPG3SNJMGCZ}

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	2026-05-18T00:20:59.281293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8517ca6e49d99d25888b79b726a5861650437b0f836b523ca4462afc89cb11da

Aliases

arxiv: 1607.07814 · arxiv_version: 1607.07814v2 · doi: 10.48550/arxiv.1607.07814 · pith_short_12: QUL4U3SJ3GOS · pith_short_16: QUL4U3SJ3GOSLCEL · pith_short_8: QUL4U3SJ

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/QUL4U3SJ3GOSLCELPG3SNJMGCZ \
  | 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: 8517ca6e49d99d25888b79b726a5861650437b0f836b523ca4462afc89cb11da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7370e55a91a769686202833affe3b7ea5d9b55a054710465ab0be869ea59df7d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-26T17:35:24Z",
    "title_canon_sha256": "378b4f3da4b2ca7d71109ae9ce5bde2816003f329d499aef6861d2db58290782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07814",
    "kind": "arxiv",
    "version": 2
  }
}