Pith Number

pith:LGA5ZWLY

pith:2016:LGA5ZWLYH2F2JNF2B745DP2CIL

not attested not anchored not stored refs pending

BMO solvability and absolute continuity of harmonic measure

Phi Le, Steve Hofmann

arxiv:1607.00418 v1 · 2016-07-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGA5ZWLYH2F2JNF2B745DP2CIL}

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	2026-05-18T01:11:37.133234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5981dcd9783e8ba4b4ba0ff9d1bf4242f8bef111efd939cf02055fe3cc7905e5

Aliases

arxiv: 1607.00418 · arxiv_version: 1607.00418v1 · doi: 10.48550/arxiv.1607.00418 · pith_short_12: LGA5ZWLYH2F2 · pith_short_16: LGA5ZWLYH2F2JNF2 · pith_short_8: LGA5ZWLY

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/LGA5ZWLYH2F2JNF2B745DP2CIL \
  | 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: 5981dcd9783e8ba4b4ba0ff9d1bf4242f8bef111efd939cf02055fe3cc7905e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6fc3017a6f51a85fc07836669add5e2e1c8a5f70ccd2d80caae8e1f6c9839f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-01T21:48:21Z",
    "title_canon_sha256": "03ae80c71c6b8b2963f0361c0ab4b275531ca2da3e66b9c367c233a75f9145a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00418",
    "kind": "arxiv",
    "version": 1
  }
}