Pith Number

pith:6EO4T3RD

pith:2016:6EO4T3RDEWGABXQNXVB3XCRACD

not attested not anchored not stored refs pending

An Exposition of White's Characterization of Empty Lattice Tetrahedra

Karen M. Rogers, Mizan R. Khan

arxiv:1610.01981 v1 · 2016-10-06 · 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{6EO4T3RDEWGABXQNXVB3XCRACD}

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	2026-05-18T01:03:04.227623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f11dc9ee23258c00de0dbd43bb8a2010f70214c79c5b43a9105948b99cc6bdbd

Aliases

arxiv: 1610.01981 · arxiv_version: 1610.01981v1 · doi: 10.48550/arxiv.1610.01981 · pith_short_12: 6EO4T3RDEWGA · pith_short_16: 6EO4T3RDEWGABXQN · pith_short_8: 6EO4T3RD

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/6EO4T3RDEWGABXQNXVB3XCRACD \
  | 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: f11dc9ee23258c00de0dbd43bb8a2010f70214c79c5b43a9105948b99cc6bdbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14f525ab708acce8d2be8d1e10f53a6da4dd49480c8a7982b903b4467961f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-06T18:21:35Z",
    "title_canon_sha256": "3976eef2dcad74520f410465a451818875b465e731952ef2c59e3637506f553c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01981",
    "kind": "arxiv",
    "version": 1
  }
}