Pith Number

pith:EQ7TATXW

pith:2025:EQ7TATXWLA7YFIUTXZOL3MIPEX

not attested not anchored not stored refs pending

Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited

Aleks Jevnikar, Daniele Bartolucci, Juncheng Wei, Ruijun Wu

arxiv:2507.20725 v1 · 2025-07-28 · 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{EQ7TATXWLA7YFIUTXZOL3MIPEX}

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.

Receipt and verification

First computed	2026-07-05T11:44:24.767610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

243f304ef6583f82a293be5cbdb10f25f3cdef67d296ed270c10944bb5db384e

Aliases

arxiv: 2507.20725 · arxiv_version: 2507.20725v1 · doi: 10.48550/arxiv.2507.20725 · pith_short_12: EQ7TATXWLA7Y · pith_short_16: EQ7TATXWLA7YFIUT · pith_short_8: EQ7TATXW

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/EQ7TATXWLA7YFIUTXZOL3MIPEX \
  | 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: 243f304ef6583f82a293be5cbdb10f25f3cdef67d296ed270c10944bb5db384e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2623b9efb6bb38c96c64f834bad8cbc4f2cca2138e05eb2827df9d39e318fc3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-28T11:24:08Z",
    "title_canon_sha256": "b66553003364c96e50c969301d06dfe0a053f96584892a232857da96006d082f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20725",
    "kind": "arxiv",
    "version": 1
  }
}