Pith Number

pith:5M4QG57N

pith:2023:5M4QG57NEONCRXIUBJPLFHNIFJ

not attested not anchored not stored refs pending

Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality

Liam Mazurowski, Xuan Yao

arxiv:2305.19784 v4 · 2023-05-31 · math.DG · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5M4QG57NEONCRXIUBJPLFHNIFJ}

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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

Large $p$-Capacitary Invariants, Entropy, and Geometric Rank

Receipt and verification

First computed	2026-07-05T07:35:19.231773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb390377ed239a28dd140a5eb29da82a4f81833ace01f6dd075a742f9ffcafac

Aliases

arxiv: 2305.19784 · arxiv_version: 2305.19784v4 · doi: 10.48550/arxiv.2305.19784 · pith_short_12: 5M4QG57NEONC · pith_short_16: 5M4QG57NEONCRXIU · pith_short_8: 5M4QG57N

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/5M4QG57NEONCRXIUBJPLFHNIFJ \
  | 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: eb390377ed239a28dd140a5eb29da82a4f81833ace01f6dd075a742f9ffcafac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8876e8f279c3d8dc7aa75615bc1c3efd96acef3533f491592f5c6848ef023f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-05-31T12:22:10Z",
    "title_canon_sha256": "aa266034badc4fec70606a3797902a6e128705bd10248903849f19ad0a941b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.19784",
    "kind": "arxiv",
    "version": 4
  }
}