Pith Number

pith:OBKAAMTP

pith:2012:OBKAAMTPE5ZIQV4T325PA4LKIR

not attested not anchored not stored refs pending

Many empty triangles have a common edge

Imre B\'ar\'any, Jean-Fran\c{c}ois Marckert, Matthias Reitzner

arxiv:1209.3928 v1 · 2012-09-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBKAAMTPE5ZIQV4T325PA4LKIR}

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	2026-05-18T03:45:22.219926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705400326f2772885793debaf0716a4452f655407d39a542a3f480c726ba2d85

Aliases

arxiv: 1209.3928 · arxiv_version: 1209.3928v1 · doi: 10.48550/arxiv.1209.3928 · pith_short_12: OBKAAMTPE5ZI · pith_short_16: OBKAAMTPE5ZIQV4T · pith_short_8: OBKAAMTP

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/OBKAAMTPE5ZIQV4T325PA4LKIR \
  | 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: 705400326f2772885793debaf0716a4452f655407d39a542a3f480c726ba2d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9a77ae94ac53ef20e52484839c63f96613f8f0b8220307e80a3a4b89492b5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-18T12:36:29Z",
    "title_canon_sha256": "6b7a39e5009f8c346c7191d8866a408d9f9a39b0efe9461b774a14ddc25e6109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3928",
    "kind": "arxiv",
    "version": 1
  }
}