Pith Number

pith:D4F2SF7N

pith:2023:D4F2SF7NCT2PQCQHXXLSPYRCBR

not attested not anchored not stored refs pending

From energy bounds to dimensional estimates in a branched transport model for type-I superconductors

Berardo Ruffini, Guido De Philippis, Michael Goldman

arxiv:2304.12715 v1 · 2023-04-25 · 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{D4F2SF7NCT2PQCQHXXLSPYRCBR}

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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

2 papers in Pith

Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models

A model of anisotropic branched optimal transport

Receipt and verification

First computed	2026-07-05T06:04:20.077558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0ba917ed14f4f80a07bdd727e2220c765dda4161bd8b995b51a51ac1914cde

Aliases

arxiv: 2304.12715 · arxiv_version: 2304.12715v1 · doi: 10.48550/arxiv.2304.12715 · pith_short_12: D4F2SF7NCT2P · pith_short_16: D4F2SF7NCT2PQCQH · pith_short_8: D4F2SF7N

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/D4F2SF7NCT2PQCQHXXLSPYRCBR \
  | 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: 1f0ba917ed14f4f80a07bdd727e2220c765dda4161bd8b995b51a51ac1914cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60367a3be00870a9a801975f37a8232cf8785ee1ee328728111528956e40a504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-04-25T10:57:56Z",
    "title_canon_sha256": "36b5b4c6f93c583633d90a62b65d2e2138de49f847586010bddf89c9c24b0056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.12715",
    "kind": "arxiv",
    "version": 1
  }
}