Pith Number

pith:TARYDFY2

pith:2013:TARYDFY2LGZT3SDINDEHEXWCXL

not attested not anchored not stored refs pending

On the curvature of level sets of harmonic functions

Stefan Steinerberger

arxiv:1307.2069 v5 · 2013-07-08 · math.CA · 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{TARYDFY2LGZT3SDINDEHEXWCXL}

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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.

Cited by

1 paper in Pith

Generalised eigenvector expansion of infinite Toeplitz matrices with absolutely/completely monotone entries

Receipt and verification

First computed	2026-05-18T02:48:37.391595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

982381971a59b33dc86868c8725ec2bafb5ab923189979987730675217f33b83

Aliases

arxiv: 1307.2069 · arxiv_version: 1307.2069v5 · doi: 10.48550/arxiv.1307.2069 · pith_short_12: TARYDFY2LGZT · pith_short_16: TARYDFY2LGZT3SDI · pith_short_8: TARYDFY2

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/TARYDFY2LGZT3SDINDEHEXWCXL \
  | 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: 982381971a59b33dc86868c8725ec2bafb5ab923189979987730675217f33b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4225ce02babe34b5deb725d97aba73d32bd2355545393eb072b5b64e54d0948",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-08T12:48:23Z",
    "title_canon_sha256": "5fa0415618c8598abe3202dfb9996329c3583541948056921c61a3eba897a4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2069",
    "kind": "arxiv",
    "version": 5
  }
}