Pith Number

pith:4VCRL5UR

pith:2015:4VCRL5UR6HVELL24X3KNG4X4L2

not attested not anchored not stored refs pending

Order-Chain Polytopes

Akiyoshi Tsuchiya, Lili Mu, Nan Li, Takayuki Hibi, Teresa Xueshan Li

arxiv:1504.01706 v3 · 2015-04-07 · 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{4VCRL5UR6HVELL24X3KNG4X4L2}

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	2026-05-18T01:08:26.655182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54515f691f1ea45af5cbed4d372fc5eb74a6e732a6d69b8e971d71b2f60b618

Aliases

arxiv: 1504.01706 · arxiv_version: 1504.01706v3 · doi: 10.48550/arxiv.1504.01706 · pith_short_12: 4VCRL5UR6HVE · pith_short_16: 4VCRL5UR6HVELL24 · pith_short_8: 4VCRL5UR

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/4VCRL5UR6HVELL24X3KNG4X4L2 \
  | 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: e54515f691f1ea45af5cbed4d372fc5eb74a6e732a6d69b8e971d71b2f60b618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3e11760f766ac1440714aa0ead2bc30d2f5f5b143b3df6f10467dbe5e397ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-07T19:08:39Z",
    "title_canon_sha256": "d10fdc3843950251c9e6ed1226dda6e0a730b6284992c697022c4900a1c56dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01706",
    "kind": "arxiv",
    "version": 3
  }
}