Pith Number

pith:VCC63J7U

pith:2015:VCC63J7UZA2KTCCO2M2SE5AWF7

not attested not anchored not stored refs pending

Primitive Zonotopes

Antoine Deza, George Manoussakis, Shmuel Onn

arxiv:1512.08018 v4 · 2015-12-25 · math.OC · 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{VCC63J7UZA2KTCCO2M2SE5AWF7}

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	2026-05-18T00:51:28.431560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a885eda7f4c834a9884ed3352274162fc73725203bc4e2194c66001426b179e6

Aliases

arxiv: 1512.08018 · arxiv_version: 1512.08018v4 · doi: 10.48550/arxiv.1512.08018 · pith_short_12: VCC63J7UZA2K · pith_short_16: VCC63J7UZA2KTCCO · pith_short_8: VCC63J7U

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/VCC63J7UZA2KTCCO2M2SE5AWF7 \
  | 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: a885eda7f4c834a9884ed3352274162fc73725203bc4e2194c66001426b179e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53434c9bc593d20bd7f53c18c46cb498177c33039ebd6bc9019ae61c227c5563",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-25T17:01:43Z",
    "title_canon_sha256": "5645c983c4ae6bf69b0dc45de7607ba564e4edab6e06d8bbc962b739879ef4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08018",
    "kind": "arxiv",
    "version": 4
  }
}