Pith Number

pith:DHOPR4XM

pith:2017:DHOPR4XMJG37HGI4GAPLR6D3QB

not attested not anchored not stored refs pending

Near-optimal bounds for phase synchronization

Nicolas Boumal, Yiqiao Zhong

arxiv:1703.06605 v1 · 2017-03-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHOPR4XMJG37HGI4GAPLR6D3QB}

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	2026-05-18T00:19:04.210217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19dcf8f2ec49b7f3991c301eb8f87b804f43114344ec4212e4b0253982f10865

Aliases

arxiv: 1703.06605 · arxiv_version: 1703.06605v1 · doi: 10.48550/arxiv.1703.06605 · pith_short_12: DHOPR4XMJG37 · pith_short_16: DHOPR4XMJG37HGI4 · pith_short_8: DHOPR4XM

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/DHOPR4XMJG37HGI4GAPLR6D3QB \
  | 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: 19dcf8f2ec49b7f3991c301eb8f87b804f43114344ec4212e4b0253982f10865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28d9bbd3849b75ce4d407ec9133659c9585992cd861bab3b9f31a7c2f1492a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-20T05:20:44Z",
    "title_canon_sha256": "b35ad918cf2d0860ec7125f7eae9918c2281031f3e090d15c35660ffff8dfc99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06605",
    "kind": "arxiv",
    "version": 1
  }
}