Pith Number

pith:VDKW3P3T

pith:2026:VDKW3P3TAEGRYQCYJA7CULZE2V

not attested not anchored not stored refs pending

Minkowski decomposability of symmetric edge polytopes

Akihiro Higashitani, Aki Mori

arxiv:2608.02445 v1 · 2026-08-03 · 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{VDKW3P3TAEGRYQCYJA7CULZE2V}

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	2026-08-04T02:43:31.324691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d56dbf73010d1c4058483e2a2f24d57201ad994b04a9ae932757b00f5a1b9d

Aliases

arxiv: 2608.02445 · arxiv_version: 2608.02445v1 · doi: 10.48550/arxiv.2608.02445 · pith_short_12: VDKW3P3TAEGR · pith_short_16: VDKW3P3TAEGRYQCY · pith_short_8: VDKW3P3T

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/VDKW3P3TAEGRYQCYJA7CULZE2V \
  | 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: a8d56dbf73010d1c4058483e2a2f24d57201ad994b04a9ae932757b00f5a1b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8713f192a1b7bff590378703fddaedd808e542afd51066e0a9517619dcb5012d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-03T16:23:46Z",
    "title_canon_sha256": "7d7454015bd1450aa981581c149809bddc81cb51f60ab8ae4a9e056583b310e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02445",
    "kind": "arxiv",
    "version": 1
  }
}