Pith Number

pith:BNKJGCYU

pith:2015:BNKJGCYUD45HOEA2NRNJZZXAI5

not attested not anchored not stored refs pending

Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem

Juncheng Wei, Monica Musso

arxiv:1502.01674 v1 · 2015-02-05 · 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{BNKJGCYUD45HOEA2NRNJZZXAI5}

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	2026-05-18T02:27:51.568136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b54930b141f3a77101a6c5a9ce6e04778b2ab1961366e9b35043e8c3170bf09

Aliases

arxiv: 1502.01674 · arxiv_version: 1502.01674v1 · doi: 10.48550/arxiv.1502.01674 · pith_short_12: BNKJGCYUD45H · pith_short_16: BNKJGCYUD45HOEA2 · pith_short_8: BNKJGCYU

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/BNKJGCYUD45HOEA2NRNJZZXAI5 \
  | 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: 0b54930b141f3a77101a6c5a9ce6e04778b2ab1961366e9b35043e8c3170bf09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf3db32c0c77ce7d60b5c34f44eea5638c7d3154056500d92fc2f32ec870059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-05T18:43:20Z",
    "title_canon_sha256": "63316a0cbf4e88d62d0d2770e123deb16c199870e24eb48b48b64e7f239d2537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01674",
    "kind": "arxiv",
    "version": 1
  }
}