Pith Number

pith:Z6HICIUX

pith:2011:Z6HICIUXPYJVTZ5WZKFTOGCNQ4

not attested not anchored not stored refs pending

An Euler characteristic proof that 4-prismatoids have width at most 4

Hugh Thomas, Tamon Stephen

arxiv:1101.3050 v2 · 2011-01-16 · 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{Z6HICIUXPYJVTZ5WZKFTOGCNQ4}

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	2026-05-18T04:24:05.950814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8e8122977e1359e7b6ca8b37184d8706d0ea110f7e7bcce4e15634fdfaec23

Aliases

arxiv: 1101.3050 · arxiv_version: 1101.3050v2 · doi: 10.48550/arxiv.1101.3050 · pith_short_12: Z6HICIUXPYJV · pith_short_16: Z6HICIUXPYJVTZ5W · pith_short_8: Z6HICIUX

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/Z6HICIUXPYJVTZ5WZKFTOGCNQ4 \
  | 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: cf8e8122977e1359e7b6ca8b37184d8706d0ea110f7e7bcce4e15634fdfaec23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dbca75be3c2f9736e92a18dce59444fbd34e6d1d3cb254e5627a53291ba0a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-16T07:03:17Z",
    "title_canon_sha256": "e2c5ffe476a8a5c92f013a0585e81f4177dd8803c2cc597dcdf0f619b761ca07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3050",
    "kind": "arxiv",
    "version": 2
  }
}