Pith Number

pith:DF3HZ7C5

pith:2016:DF3HZ7C5DXW5H3LZOJXYUIIIZS

not attested not anchored not stored refs pending

Classifying unavoidable Tverberg partitions

Boris Bukh, Gabriel Nivasch, Po-Shen Loh

arxiv:1611.01078 v3 · 2016-11-03 · 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{DF3HZ7C5DXW5H3LZOJXYUIIIZS}

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	2026-05-18T00:40:53.967956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19767cfc5d1dedd3ed79726f8a2108cc827db374eba2ee654908e86135ea8e1e

Aliases

arxiv: 1611.01078 · arxiv_version: 1611.01078v3 · doi: 10.48550/arxiv.1611.01078 · pith_short_12: DF3HZ7C5DXW5 · pith_short_16: DF3HZ7C5DXW5H3LZ · pith_short_8: DF3HZ7C5

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/DF3HZ7C5DXW5H3LZOJXYUIIIZS \
  | 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: 19767cfc5d1dedd3ed79726f8a2108cc827db374eba2ee654908e86135ea8e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b423932da0b8a352a2d3b0e884027dff8b8b8e49ce6683a3f19b8660389bc3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-11-03T16:15:59Z",
    "title_canon_sha256": "69e56ff636506fa670991651428570040f141e1714993f02ce68b08c3312d635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01078",
    "kind": "arxiv",
    "version": 3
  }
}