Pith Number

pith:F6TS5U4B

pith:2018:F6TS5U4BNK4RDLOHROVZJTCX33

not attested not anchored not stored refs pending

Tverberg theorems over discrete sets of points

Fr\'ed\'eric Meunier, Jes\'us A. De Loera, Nabil Mustafa, Thomas A. Hogan

arxiv:1803.01816 v2 · 2018-03-05 · math.MG · cs.CG · 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{F6TS5U4BNK4RDLOHROVZJTCX33}

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	2026-05-17T23:55:21.183240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa72ed3816ab911adc78bab94cc57dee9a6a256b3cda4cb596d24fe6f86f4d0

Aliases

arxiv: 1803.01816 · arxiv_version: 1803.01816v2 · doi: 10.48550/arxiv.1803.01816 · pith_short_12: F6TS5U4BNK4R · pith_short_16: F6TS5U4BNK4RDLOH · pith_short_8: F6TS5U4B

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/F6TS5U4BNK4RDLOHROVZJTCX33 \
  | 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: 2fa72ed3816ab911adc78bab94cc57dee9a6a256b3cda4cb596d24fe6f86f4d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5312488c33c01ec132db7190f89ca0d33f8cf722397be43c507406db74e2ec",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-03-05T18:22:58Z",
    "title_canon_sha256": "96acc82f0b81820b60e3a5b6ae9f0f3307d99fcc81dc43a3d0d491f05cbe93fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01816",
    "kind": "arxiv",
    "version": 2
  }
}