Pith Number

pith:IK4KXDQI

pith:2026:IK4KXDQIATVPH5UKX2KN225LIA

not attested not anchored not stored refs pending

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position

Christos Pandis, Silouanos Brazitikos

arxiv:2608.07216 v1 · 2026-08-07 · 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{IK4KXDQIATVPH5UKX2KN225LIA}

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	2026-08-10T01:14:39.886080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42b8ab8e0804eaf3f68abe94dd6bab40162f881253f96dc18bba517d7b66375b

Aliases

arxiv: 2608.07216 · arxiv_version: 2608.07216v1 · doi: 10.48550/arxiv.2608.07216 · pith_short_12: IK4KXDQIATVP · pith_short_16: IK4KXDQIATVPH5UK · pith_short_8: IK4KXDQI

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/IK4KXDQIATVPH5UKX2KN225LIA \
  | 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: 42b8ab8e0804eaf3f68abe94dd6bab40162f881253f96dc18bba517d7b66375b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889103dc2191a78d1c8a81c5ce986818a22f2fa87f6bc1c57a9b51202fd4e00b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-08-07T13:34:34Z",
    "title_canon_sha256": "1a6b994c0a0292b10ad82c4aa0173384ff98ccdb8d422565a2b7953b01287cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07216",
    "kind": "arxiv",
    "version": 1
  }
}