Pith Number

pith:6DJ3MNZW

pith:2019:6DJ3MNZWEMTHE6DWJHTJZE5GVJ

not attested not anchored not stored refs pending

Oscillatory Loomis-Whitney and Projections of Sublevel Sets

Kevin O'Neill, Lechao Xiao, Maxim Gilula

arxiv:1903.12300 v2 · 2019-03-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DJ3MNZWEMTHE6DWJHTJZE5GVJ}

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	2026-05-17T23:41:30.496393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d3b63736232672787649e69c93a6aa7ef1c6dd2179259c2f2f0cb159555699

Aliases

arxiv: 1903.12300 · arxiv_version: 1903.12300v2 · doi: 10.48550/arxiv.1903.12300 · pith_short_12: 6DJ3MNZWEMTH · pith_short_16: 6DJ3MNZWEMTHE6DW · pith_short_8: 6DJ3MNZW

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/6DJ3MNZWEMTHE6DWJHTJZE5GVJ \
  | 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: f0d3b63736232672787649e69c93a6aa7ef1c6dd2179259c2f2f0cb159555699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9098c3fc59264bc7bd84a33f2680b1427abeb04df9de32aa2a15c367b7d49174",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-03-28T23:30:39Z",
    "title_canon_sha256": "5c8250d4e03a20ecd7dd88adb078403fea6ca9a5a4f261d4b811f1e71d4d759c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12300",
    "kind": "arxiv",
    "version": 2
  }
}