Pith Number

pith:YFKIQXHQ

pith:2015:YFKIQXHQ73SOYYU4V2WZA6D3QW

not attested not anchored not stored refs pending

The structure of finite Morse index solutions to two free boundary problems in $\mathbb{R}^2$

Kelei Wang

arxiv:1506.00491 v3 · 2015-06-01 · 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{YFKIQXHQ73SOYYU4V2WZA6D3QW}

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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

Finite index solutions to the Bernoulli problem in three dimensions are axially symmetric

Receipt and verification

First computed	2026-05-18T00:29:02.074109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c154885cf0fee4ec629caead90787b85ba39fa814b62438ae81e42dae1e1a152

Aliases

arxiv: 1506.00491 · arxiv_version: 1506.00491v3 · doi: 10.48550/arxiv.1506.00491 · pith_short_12: YFKIQXHQ73SO · pith_short_16: YFKIQXHQ73SOYYU4 · pith_short_8: YFKIQXHQ

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/YFKIQXHQ73SOYYU4V2WZA6D3QW \
  | 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: c154885cf0fee4ec629caead90787b85ba39fa814b62438ae81e42dae1e1a152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbbd44e4069c0327811c68c83ac828da2409e1bdb79cf11b1e131bbf6d8f68be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-01T13:40:49Z",
    "title_canon_sha256": "b475bae12cf64f655f216ea1ebddb7e2df2f4b656f430691667d40102adf4341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00491",
    "kind": "arxiv",
    "version": 3
  }
}