Pith Number

pith:4XUD5YVE

pith:2009:4XUD5YVEHYDNYK64T4YTOS6VEX

not attested not anchored not stored refs pending

Harmonic polynomials and tangent measures of harmonic measure

Matthew Badger

arxiv:0910.2591 v1 · 2009-10-14 · math.AP · 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{4XUD5YVEHYDNYK64T4YTOS6VEX}

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	2026-05-18T04:15:28.622015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e83ee2a43e06dc2bdc9f31374bd525f7b5139fd00dd7acd40c314845e334ed

Aliases

arxiv: 0910.2591 · arxiv_version: 0910.2591v1 · doi: 10.48550/arxiv.0910.2591 · pith_short_12: 4XUD5YVEHYDN · pith_short_16: 4XUD5YVEHYDNYK64 · pith_short_8: 4XUD5YVE

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/4XUD5YVEHYDNYK64T4YTOS6VEX \
  | 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: e5e83ee2a43e06dc2bdc9f31374bd525f7b5139fd00dd7acd40c314845e334ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72599e20fd0745d320bb36273ea7daca160ab43bd9218d61a61ea8b58126eec5",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-14T19:47:23Z",
    "title_canon_sha256": "3f9875f65ffad1c25333cddc9a44a91b22b963121df2041e2aa90572fb89cefa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2591",
    "kind": "arxiv",
    "version": 1
  }
}