Pith Number

pith:2C7L7VP6

pith:2017:2C7L7VP6THRS74E6K4MNZE2LDS

not attested not anchored not stored refs pending

On the cone of $f$-vectors of cubical polytopes

Daniel Kalmanovich, Eran Nevo, Ron M. Adin

arxiv:1801.00163 v2 · 2017-12-30 · 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{2C7L7VP6THRS74E6K4MNZE2LDS}

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	2026-05-18T00:15:41.822807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0bebfd5fe99e32ff09e5718dc934b1c93227a70b9146bc1022aa04e2ca7db25

Aliases

arxiv: 1801.00163 · arxiv_version: 1801.00163v2 · doi: 10.48550/arxiv.1801.00163 · pith_short_12: 2C7L7VP6THRS · pith_short_16: 2C7L7VP6THRS74E6 · pith_short_8: 2C7L7VP6

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/2C7L7VP6THRS74E6K4MNZE2LDS \
  | 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: d0bebfd5fe99e32ff09e5718dc934b1c93227a70b9146bc1022aa04e2ca7db25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4a10b6e4664b8bc94531580fe7e1454e3d0ca6ef8bb8e0326007daef1e6220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-30T17:44:32Z",
    "title_canon_sha256": "2f31d94318b673e272fe4d296e9d3029265877717b3c9ad2d54cd7f8545514d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00163",
    "kind": "arxiv",
    "version": 2
  }
}