Pith Number

pith:MTYMNSVY

pith:2018:MTYMNSVYAKGB5M2GU4VWCH3JHT

not attested not anchored not stored refs pending

Weighted restriction estimates and application to Falconer distance set problem

Bobby Wilson, Hong Wang, Larry Guth, Ruixiang Zhang, Xiumin Du, Yumeng Ou

arxiv:1802.10186 v1 · 2018-02-27 · 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{MTYMNSVYAKGB5M2GU4VWCH3JHT}

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	2026-05-18T00:22:17.864164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f0c6cab8028c1eb346a72b611f693ce4b59b79179741435d5dd78943434ce7

Aliases

arxiv: 1802.10186 · arxiv_version: 1802.10186v1 · doi: 10.48550/arxiv.1802.10186 · pith_short_12: MTYMNSVYAKGB · pith_short_16: MTYMNSVYAKGB5M2G · pith_short_8: MTYMNSVY

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/MTYMNSVYAKGB5M2GU4VWCH3JHT \
  | 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: 64f0c6cab8028c1eb346a72b611f693ce4b59b79179741435d5dd78943434ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6c9b36e065f92a1f1828a894d51bf2ede71b4f16576fac687e6572dda0398f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-27T22:13:33Z",
    "title_canon_sha256": "e0821e9b465dcab0b65b6516f9086537541e3c44cd1c05f58cbeb2a71c5620f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10186",
    "kind": "arxiv",
    "version": 1
  }
}