Pith Number

pith:HZ634AGN

pith:2021:HZ634AGN4WLQYNU6A2DKK63MWU

not attested not anchored not stored refs pending

Bier spheres of extremal volume and generalized permutohedra

Filip D. Jevti\'c, Rade T. \v{Z}ivaljevi\'c

arxiv:2108.00618 v1 · 2021-08-02 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZ634AGN4WLQYNU6A2DKK63MWU}

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

Simplicial vs. cubical spheres, polyhedral products and the Nevo-Petersen conjecture

Receipt and verification

First computed	2026-07-05T03:02:25.232445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7dbe00cde5970c369e0686a57b6cb51d29340ef3a2fea9ab424c8b3bd38e38

Aliases

arxiv: 2108.00618 · arxiv_version: 2108.00618v1 · doi: 10.48550/arxiv.2108.00618 · pith_short_12: HZ634AGN4WLQ · pith_short_16: HZ634AGN4WLQYNU6 · pith_short_8: HZ634AGN

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/HZ634AGN4WLQYNU6A2DKK63MWU \
  | 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: 3e7dbe00cde5970c369e0686a57b6cb51d29340ef3a2fea9ab424c8b3bd38e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a189bbf4df1549d3110028b8573e4c3e9782e4235fbb038bddce57a10e3a73d1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-02T03:45:45Z",
    "title_canon_sha256": "25537f133176ca4b1134192e3cc1a427903d90d4f85499e7db77d44960524bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00618",
    "kind": "arxiv",
    "version": 1
  }
}