Pith Number

pith:WV6HDJIG

pith:2021:WV6HDJIGFADI4J46LLQQLMEK6P

not attested not anchored not stored refs pending

Polarization and covering on sets of low smoothness

A. Anderson, A. Reznikov, E. White, O. Vlasiuk

arxiv:2106.11956 v2 · 2021-06-22 · 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{WV6HDJIGFADI4J46LLQQLMEK6P}

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	2026-07-05T03:49:39.918264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b57c71a50628068e279e5ae105b08af3cf967ad19e222b61a6817ef808be44f0

Aliases

arxiv: 2106.11956 · arxiv_version: 2106.11956v2 · doi: 10.48550/arxiv.2106.11956 · pith_short_12: WV6HDJIGFADI · pith_short_16: WV6HDJIGFADI4J46 · pith_short_8: WV6HDJIG

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/WV6HDJIGFADI4J46LLQQLMEK6P \
  | 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: b57c71a50628068e279e5ae105b08af3cf967ad19e222b61a6817ef808be44f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d99f3ac11a15142e01b1509b3f1d90bdaa3cdd109902b2c808595ffed5e3bbd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-06-22T17:56:47Z",
    "title_canon_sha256": "9f8f33426327a08be4830eb68d1d925c7ac287cb840c859c9c1ff3e85d78cb7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11956",
    "kind": "arxiv",
    "version": 2
  }
}