Pith Number

pith:NGLUG5XN

pith:2017:NGLUG5XNDI2PXCFJDI7E2TSIIR

not attested not anchored not stored refs pending

Critical exponent for the global existence of solutions to a nonlinear degenerate/singular parabolic equation

Tatsuki Kawakami, Yannick Sire, Yohei Fujishima

arxiv:1711.11187 v1 · 2017-11-30 · 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{NGLUG5XNDI2PXCFJDI7E2TSIIR}

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	2026-05-18T00:29:12.264048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69974376ed1a34fb88a91a3e4d4e48444de23a5a3eae910b7fb213ee067151f5

Aliases

arxiv: 1711.11187 · arxiv_version: 1711.11187v1 · doi: 10.48550/arxiv.1711.11187 · pith_short_12: NGLUG5XNDI2P · pith_short_16: NGLUG5XNDI2PXCFJ · pith_short_8: NGLUG5XN

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/NGLUG5XNDI2PXCFJDI7E2TSIIR \
  | 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: 69974376ed1a34fb88a91a3e4d4e48444de23a5a3eae910b7fb213ee067151f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe246f29f85b76d076b40b0da985d3a1441a91fbb542118e7d6e754dd14fd3bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-30T01:57:44Z",
    "title_canon_sha256": "0c30e8b80f66f385710ab7c7beb2ae3a2449e19e7bfcf7d3d0d3ee3a1c5d7532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11187",
    "kind": "arxiv",
    "version": 1
  }
}