Pith Number

pith:D2P4K55I

pith:2016:D2P4K55INHKUEF6XY7Z7BW6DDB

not attested not anchored not stored refs pending

A simple proof of tail--polynomial bounds on the diameter of polyhedra

Noriyoshi Sukegawa, Shinji Mizuno

arxiv:1604.04338 v1 · 2016-04-15 · math.OC · 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{D2P4K55INHKUEF6XY7Z7BW6DDB}

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	2026-05-18T01:17:04.455585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9fc577a869d54217d7c7f3f0dbc3187134339e3d3abc8d4e43346e3fad8de4

Aliases

arxiv: 1604.04338 · arxiv_version: 1604.04338v1 · doi: 10.48550/arxiv.1604.04338 · pith_short_12: D2P4K55INHKU · pith_short_16: D2P4K55INHKUEF6X · pith_short_8: D2P4K55I

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/D2P4K55INHKUEF6XY7Z7BW6DDB \
  | 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: 1e9fc577a869d54217d7c7f3f0dbc3187134339e3d3abc8d4e43346e3fad8de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9f3ee84b9cce0fd4c837cd581f7b7bde1bfe4d09d8835a5e4b57a6e878004a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-15T02:33:17Z",
    "title_canon_sha256": "c299e499e51ec6e530195256b0e00e45c7242fa8fb8d8f88eb9b61d10c3da2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04338",
    "kind": "arxiv",
    "version": 1
  }
}