Pith Number

pith:75PUXZJV

pith:2015:75PUXZJV6HRV5UXPDBSQTYQWRQ

not attested not anchored not stored refs pending

Phragm\'en-Lindel\"of theorems and p-harmonic measures for sets near low-dimensional hyperplanes

Niklas L.P. Lundstr\"Om

arxiv:1503.05382 v3 · 2015-03-18 · 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{75PUXZJV6HRV5UXPDBSQTYQWRQ}

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	2026-05-18T01:25:24.611897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5f4be535f1e35ed2ef186509e2168c1dab476949d36d7e0bfe45f5f951e4bd

Aliases

arxiv: 1503.05382 · arxiv_version: 1503.05382v3 · doi: 10.48550/arxiv.1503.05382 · pith_short_12: 75PUXZJV6HRV · pith_short_16: 75PUXZJV6HRV5UXP · pith_short_8: 75PUXZJV

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/75PUXZJV6HRV5UXPDBSQTYQWRQ \
  | 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: ff5f4be535f1e35ed2ef186509e2168c1dab476949d36d7e0bfe45f5f951e4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb768ec5c397f2beaf3febfa1bd35782690c4d7bf278f198f244ae01618ebc81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-18T13:05:24Z",
    "title_canon_sha256": "bcde53a033308b7b2afcbccc9e974e81a1f7aa78400fb2b46000d2a0143766a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05382",
    "kind": "arxiv",
    "version": 3
  }
}