Pith Number

pith:MHG2FVQG

pith:2017:MHG2FVQGEHP76GOT4HTQ4ADKE5

not attested not anchored not stored refs pending

Lattice simplices with a fixed positive number of interior lattice points: A nearly optimal volume bound

Benjamin Nill, Gennadiy Averkov, Jan Kr\"umpelmann

arxiv:1710.08646 v1 · 2017-10-24 · math.CO · math.AG · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHG2FVQGEHP76GOT4HTQ4ADKE5}

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	2026-05-18T00:32:04.213276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61cda2d60621dfff19d3e1e70e006a275d1cc00eece02ad09e3d3346091e2d94

Aliases

arxiv: 1710.08646 · arxiv_version: 1710.08646v1 · doi: 10.48550/arxiv.1710.08646 · pith_short_12: MHG2FVQGEHP7 · pith_short_16: MHG2FVQGEHP76GOT · pith_short_8: MHG2FVQG

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/MHG2FVQGEHP76GOT4HTQ4ADKE5 \
  | 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: 61cda2d60621dfff19d3e1e70e006a275d1cc00eece02ad09e3d3346091e2d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1f1ded0a1d86d0c112bffa530b25b2630a328f6396ee2dc3fc53ae8de78263",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-24T08:30:08Z",
    "title_canon_sha256": "93e34720103a5dc9c108a3ebc9ac85d765ee24d6f896a46a1dc605c781eb1d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08646",
    "kind": "arxiv",
    "version": 1
  }
}