Pith Number

pith:SDYPE6IG

pith:2019:SDYPE6IGFOF5J6WCHQCE46AJ2P

not attested not anchored not stored refs pending

Representation of Polytopes as Polynomial Zonotopes

Matthias Althoff, Niklas Kochdumper

arxiv:1910.07271 v1 · 2019-10-16 · 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{SDYPE6IGFOF5J6WCHQCE46AJ2P}

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.

Cited by

1 paper in Pith

A Quotient Homology Theory of Representation in Neural Networks

Receipt and verification

First computed	2026-07-05T00:12:34.370351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f0f279062b8bd4fac23c044e7809d3c0f2843ebbbf583e6ddbddd437b45d12

Aliases

arxiv: 1910.07271 · arxiv_version: 1910.07271v1 · doi: 10.48550/arxiv.1910.07271 · pith_short_12: SDYPE6IGFOF5 · pith_short_16: SDYPE6IGFOF5J6WC · pith_short_8: SDYPE6IG

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/SDYPE6IGFOF5J6WCHQCE46AJ2P \
  | 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: 90f0f279062b8bd4fac23c044e7809d3c0f2843ebbbf583e6ddbddd437b45d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5fa854c1ac7f1748a8b9c202f515fff6fc059602d6f59c1b6a3225bdab0f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-16T10:40:54Z",
    "title_canon_sha256": "cda3fda281f733a315e728f971134cabb832a65f0fb504d8b39c5eb5aa382330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.07271",
    "kind": "arxiv",
    "version": 1
  }
}