Pith Number

pith:ZOOLSAS2

pith:2016:ZOOLSAS2YZ7OZYKIJOJV55MM2F

not attested not anchored not stored refs pending

Enumerating projections of integer points in unbounded polyhedra

Danny Nguyen, Igor Pak

arxiv:1612.08030 v5 · 2016-12-23 · math.CO · cs.CG · cs.DM · cs.LO · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOOLSAS2YZ7OZYKIJOJV55MM2F}

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	2026-05-18T00:22:06.487263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9cb9025ac67eece1484b935ef58cd17855021c561bd749a790184cbd8a9147

Aliases

arxiv: 1612.08030 · arxiv_version: 1612.08030v5 · doi: 10.48550/arxiv.1612.08030 · pith_short_12: ZOOLSAS2YZ7O · pith_short_16: ZOOLSAS2YZ7OZYKI · pith_short_8: ZOOLSAS2

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/ZOOLSAS2YZ7OZYKIJOJV55MM2F \
  | 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: cb9cb9025ac67eece1484b935ef58cd17855021c561bd749a790184cbd8a9147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45871d8fdb74bd66e2725edca0f4230bb8c43ccdb677aecf44f820158bf54b0b",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-23T16:34:45Z",
    "title_canon_sha256": "65d07d1588cd7efd4a229f083d9741115a66249bd366916da825d997fbf62055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08030",
    "kind": "arxiv",
    "version": 5
  }
}