Pith Number

pith:6K635WCX

pith:2016:6K635WCXJN4XGRRORN2L6OSHLW

not attested not anchored not stored refs pending

A refined energy bound for perpendicular bisectors

Ben Lund

arxiv:1604.02059 v4 · 2016-04-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K635WCXJN4XGRRORN2L6OSHLW}

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	2026-05-17T23:52:08.689151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2bdbed8574b7973462e8b74bf3a475d8720d1897bac645835660fdc4a188ef8

Aliases

arxiv: 1604.02059 · arxiv_version: 1604.02059v4 · doi: 10.48550/arxiv.1604.02059 · pith_short_12: 6K635WCXJN4X · pith_short_16: 6K635WCXJN4XGRRO · pith_short_8: 6K635WCX

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/6K635WCXJN4XGRRORN2L6OSHLW \
  | 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: f2bdbed8574b7973462e8b74bf3a475d8720d1897bac645835660fdc4a188ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9dc65f7033a50507a1701bf19f947f598dc0f0ca4e6726040675eef0d21d93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-07T16:14:40Z",
    "title_canon_sha256": "97daa9aee97d626a2bcba6285a25ac6b2bc2f5d3dd58957d22185cf4880421fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02059",
    "kind": "arxiv",
    "version": 4
  }
}