Pith Number

pith:WS5AWRAX

pith:2024:WS5AWRAXUHXQLAEZVTNPAIX4FL

not attested not anchored not stored refs pending

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem

Florian Gruen, Xavier Fern\'andez-Real

arxiv:2408.10019 v1 · 2024-08-19 · 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{WS5AWRAXUHXQLAEZVTNPAIX4FL}

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.

Cited by

1 paper in Pith

Tangential touch between free and fixed boundaries for the fully nonlinear Alt-Phillips problem

Receipt and verification

First computed	2026-07-05T08:56:50.196154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ba0b4417a1ef058099acdaf022fc2aeadb4c2c83808d6917e5a9e67b463262

Aliases

arxiv: 2408.10019 · arxiv_version: 2408.10019v1 · doi: 10.48550/arxiv.2408.10019 · pith_short_12: WS5AWRAXUHXQ · pith_short_16: WS5AWRAXUHXQLAEZ · pith_short_8: WS5AWRAX

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/WS5AWRAXUHXQLAEZVTNPAIX4FL \
  | 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: b4ba0b4417a1ef058099acdaf022fc2aeadb4c2c83808d6917e5a9e67b463262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04fddb727a374a8ccecb1036d8ef19d4f7361dc7a25559fdd7056add453c9b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-19T14:12:28Z",
    "title_canon_sha256": "5bd3d25eca7ce1285d788c8d66dba8ba79599a4982f912373735452bf2b81480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.10019",
    "kind": "arxiv",
    "version": 1
  }
}