Pith Number

pith:QTFIAPTB

pith:2017:QTFIAPTBMNICCLT7RGEWJ2GKMU

not attested not anchored not stored refs pending

Direction sets, Lipschitz graphs and density

Alex Iosevich, Jonathan Pakianathan

arxiv:1703.01620 v1 · 2017-03-05 · math.CA · 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{QTFIAPTBMNICCLT7RGEWJ2GKMU}

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	2026-05-18T00:49:30.099256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ca803e616350212e7f898964e8ca651065f4e576323a61889efb5093a0c7d7

Aliases

arxiv: 1703.01620 · arxiv_version: 1703.01620v1 · doi: 10.48550/arxiv.1703.01620 · pith_short_12: QTFIAPTBMNIC · pith_short_16: QTFIAPTBMNICCLT7 · pith_short_8: QTFIAPTB

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/QTFIAPTBMNICCLT7RGEWJ2GKMU \
  | 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: 84ca803e616350212e7f898964e8ca651065f4e576323a61889efb5093a0c7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329dd4411d2fa9a16fd96b08406d7dc30d259d91da2d118d9c6948a97e203316",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-05T16:29:37Z",
    "title_canon_sha256": "484710c1be8ee68fd374d56306789cdeeaa952303c47e5d055ee378837ca2b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01620",
    "kind": "arxiv",
    "version": 1
  }
}