Pith Number

pith:IVM2PJUM

pith:2018:IVM2PJUMEBTWWB2IGTYHX4QZRB

not attested not anchored not stored refs pending

Graphical zonotopes with the same face vector

Zeying Xu

arxiv:1809.08764 v1 · 2018-09-24 · 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{IVM2PJUMEBTWWB2IGTYHX4QZRB}

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	2026-05-18T00:05:03.634910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4559a7a68c20676b074834f07bf2198872d52666a15662bb833343723cee3815

Aliases

arxiv: 1809.08764 · arxiv_version: 1809.08764v1 · doi: 10.48550/arxiv.1809.08764 · pith_short_12: IVM2PJUMEBTW · pith_short_16: IVM2PJUMEBTWWB2I · pith_short_8: IVM2PJUM

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/IVM2PJUMEBTWWB2IGTYHX4QZRB \
  | 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: 4559a7a68c20676b074834f07bf2198872d52666a15662bb833343723cee3815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d504acb30554268961ca830f7b3c4f74be5506331f3ec8675ad2abb50b7436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-24T05:08:46Z",
    "title_canon_sha256": "0c8d43d9813cc319539e5f304b09869c8772e62fa776d23f46d5ea95ac3cd4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08764",
    "kind": "arxiv",
    "version": 1
  }
}