Pith Number

pith:ZHCLOMBJ

pith:2007:ZHCLOMBJ4COGEFFFHPU3L6KVMG

not attested not anchored not stored refs pending

Hyperplane Arrangements with Large Average Diameter

Antoine Deza, Feng Xie

arxiv:0710.0328 v1 · 2007-10-01 · 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{ZHCLOMBJ4COGEFFFHPU3L6KVMG}

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	2026-07-04T15:04:36.601722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c4b73029e09c6214a53be9b5f95561afd5c65a4a50f773f2c2dbb66bb038ca

Aliases

arxiv: 0710.0328 · arxiv_version: 0710.0328v1 · doi: 10.48550/arxiv.0710.0328 · pith_short_12: ZHCLOMBJ4COG · pith_short_16: ZHCLOMBJ4COGEFFF · pith_short_8: ZHCLOMBJ

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/ZHCLOMBJ4COGEFFFHPU3L6KVMG \
  | 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: c9c4b73029e09c6214a53be9b5f95561afd5c65a4a50f773f2c2dbb66bb038ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ab0f89aef396cdeee7769bd5d07c1cf566196a355651366cca08ae21defd92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2007-10-01T15:48:53Z",
    "title_canon_sha256": "592bfc2f18d818d47d26cabc5881a0945c67e9308d32918aa75b10a69c5e5eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0328",
    "kind": "arxiv",
    "version": 1
  }
}