Pith Number

pith:NLMJ4R62

pith:2019:NLMJ4R62QGIG4BZDGU34WUBFN3

not attested not anchored not stored refs pending

A combinatorial criterion for macroscopic circles in planar triangulations

Asaf Nachmias, Daniel C. Jerison, Ori Gurel-Gurevich

arxiv:1906.01612 v1 · 2019-06-04 · math.PR · 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{NLMJ4R62QGIG4BZDGU34WUBFN3}

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	2026-05-17T23:44:15.962310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad89e47da81906e07233537cb50256ef25aef9cb2b17d3c8f4186fd7d6ddb6b

Aliases

arxiv: 1906.01612 · arxiv_version: 1906.01612v1 · doi: 10.48550/arxiv.1906.01612 · pith_short_12: NLMJ4R62QGIG · pith_short_16: NLMJ4R62QGIG4BZD · pith_short_8: NLMJ4R62

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/NLMJ4R62QGIG4BZDGU34WUBFN3 \
  | 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: 6ad89e47da81906e07233537cb50256ef25aef9cb2b17d3c8f4186fd7d6ddb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b59097d23fba5eb991cd929aaccc23ef1ec45f4c6c540b11c93eaa02736211f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-04T17:44:52Z",
    "title_canon_sha256": "7a08e3692d8661653bccd6f1333a27910a3c6c49534eb5c3d6f8fd727b4573f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01612",
    "kind": "arxiv",
    "version": 1
  }
}