Pith Number

pith:HGR3BZTN

pith:2025:HGR3BZTN3FKXUJBMP2G5QEJOGM

not attested not anchored not stored refs pending

Robin Green Function Estimates and a Model of Mammalian Lungs

Guy David, Marcel Filoche, Marco Michetti, Max Engelstein, Stefano Decio, Svitlana Mayboroda

arxiv:2507.13168 v1 · 2025-07-17 · 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{HGR3BZTN3FKXUJBMP2G5QEJOGM}

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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

What is ... Robin harmonic measure?

Receipt and verification

First computed	2026-07-05T11:38:55.814696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a3b0e66dd9557a242c7e8dd8112e333ecba88403d50dab708b9a375e76f3f0

Aliases

arxiv: 2507.13168 · arxiv_version: 2507.13168v1 · doi: 10.48550/arxiv.2507.13168 · pith_short_12: HGR3BZTN3FKX · pith_short_16: HGR3BZTN3FKXUJBM · pith_short_8: HGR3BZTN

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/HGR3BZTN3FKXUJBMP2G5QEJOGM \
  | 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: 39a3b0e66dd9557a242c7e8dd8112e333ecba88403d50dab708b9a375e76f3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec046aeca6559b44b4828259a3679dadb4125e676c87dcee0bee8c138fd8eb4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-17T14:33:10Z",
    "title_canon_sha256": "d4856715d97630ddadd3661e2ca39592ded6b19e5ff49ae55c231100cc39ca83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13168",
    "kind": "arxiv",
    "version": 1
  }
}