Pith Number

pith:MAJVHFOL

pith:2012:MAJVHFOLUDWOFILNWNJIJTGGPK

not attested not anchored not stored refs pending

On approximations by projections of polytopes with few facets

Alexander E. Litvak, Mark Rudelson, Nicole Tomczak-Jaegermann

arxiv:1209.6281 v1 · 2012-09-27 · math.FA · 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{MAJVHFOLUDWOFILNWNJIJTGGPK}

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	2026-05-18T03:44:34.738171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60135395cba0ece2a16db35284ccc67a85c7f411b6143e39362c958858e4521f

Aliases

arxiv: 1209.6281 · arxiv_version: 1209.6281v1 · doi: 10.48550/arxiv.1209.6281 · pith_short_12: MAJVHFOLUDWO · pith_short_16: MAJVHFOLUDWOFILN · pith_short_8: MAJVHFOL

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/MAJVHFOLUDWOFILNWNJIJTGGPK \
  | 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: 60135395cba0ece2a16db35284ccc67a85c7f411b6143e39362c958858e4521f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f41c35cd7c501b13bb0f82a373a6388703ede9ef28f1a88a3f25be35f8673b2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-27T16:46:07Z",
    "title_canon_sha256": "deb9f67ebfc55a0185c316f8becfe64dd649e0478fdfe4c6e89c8455aa44e7b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6281",
    "kind": "arxiv",
    "version": 1
  }
}