Pith Number

pith:PMRF5ZMV

pith:2017:PMRF5ZMV37GJMOKNVXYVKQSVFK

not attested not anchored not stored refs pending

Triangles capturing many lattice points

Nicholas F. Marshall, Stefan Steinerberger

arxiv:1706.04170 v4 · 2017-06-13 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMRF5ZMV37GJMOKNVXYVKQSVFK}

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	2026-05-18T00:17:09.267723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b225ee595dfcc96394dadf15542552aab58ec8ccfead338afdeafbec064e714

Aliases

arxiv: 1706.04170 · arxiv_version: 1706.04170v4 · doi: 10.48550/arxiv.1706.04170 · pith_short_12: PMRF5ZMV37GJ · pith_short_16: PMRF5ZMV37GJMOKN · pith_short_8: PMRF5ZMV

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/PMRF5ZMV37GJMOKNVXYVKQSVFK \
  | 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: 7b225ee595dfcc96394dadf15542552aab58ec8ccfead338afdeafbec064e714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342ef991ef2cb53b39b83cdbabc7b5f20c759a276b0dcf039be6a13490fb4a97",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-13T17:13:58Z",
    "title_canon_sha256": "32bd4f7aef4d285ae2b8525572636519ad84bc6fb73685a3de4b3c1e49cb3d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04170",
    "kind": "arxiv",
    "version": 4
  }
}