Pith Number

pith:5XKAN3F5

pith:2016:5XKAN3F5QSQFFEVK2ICVOH3PFK

not attested not anchored not stored refs pending

Quantitative Tverberg theorems over lattices and other discrete sets

D. Rolnick, J. A. De Loera, P. Sober\'on, R. N. La Haye

arxiv:1603.05525 v2 · 2016-03-17 · math.MG · 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{5XKAN3F5QSQFFEVK2ICVOH3PFK}

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	2026-05-18T01:18:53.808257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edd406ecbd84a05292aad205571f6f2a814bbc4f2d61cc29d0d5fe6ea8804ddb

Aliases

arxiv: 1603.05525 · arxiv_version: 1603.05525v2 · doi: 10.48550/arxiv.1603.05525 · pith_short_12: 5XKAN3F5QSQF · pith_short_16: 5XKAN3F5QSQFFEVK · pith_short_8: 5XKAN3F5

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/5XKAN3F5QSQFFEVK2ICVOH3PFK \
  | 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: edd406ecbd84a05292aad205571f6f2a814bbc4f2d61cc29d0d5fe6ea8804ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a36c7600a42c4e5b5470373a1803effdd95e1f4967ef88fb5ed9d24b8fbc19",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-17T15:07:50Z",
    "title_canon_sha256": "3aa97177772ef859cbdb01758cd11951969e0b6fef7f3d024a79798be73a6974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05525",
    "kind": "arxiv",
    "version": 2
  }
}