Pith Number

pith:XN4C35OR

pith:2013:XN4C35OR4VXKSYB7JQOMQ3B3Y4

not attested not anchored not stored refs pending

On the boundary of closed convex sets in $E^{n}$

M. Beltagy, S. Shenawy

arxiv:1301.0688 v1 · 2013-01-04 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XN4C35OR4VXKSYB7JQOMQ3B3Y4}

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	2026-05-18T03:37:17.903371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb782df5d1e56ea9603f4c1cc86c3bc724d588876f8850fb7c196cf0df4e8ce5

Aliases

arxiv: 1301.0688 · arxiv_version: 1301.0688v1 · doi: 10.48550/arxiv.1301.0688 · pith_short_12: XN4C35OR4VXK · pith_short_16: XN4C35OR4VXKSYB7 · pith_short_8: XN4C35OR

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/XN4C35OR4VXKSYB7JQOMQ3B3Y4 \
  | 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: bb782df5d1e56ea9603f4c1cc86c3bc724d588876f8850fb7c196cf0df4e8ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745a186e554559c02860065f8f4275613da7421b8f9d1eca6714dd934b7fe51a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-04T08:45:26Z",
    "title_canon_sha256": "fa0f06830d3e8b4cf3bd0e6757f589a377fe55788121b68eaa1ddfb98f0fc5d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0688",
    "kind": "arxiv",
    "version": 1
  }
}