Pith Number

pith:5XU2H33A

pith:2017:5XU2H33A6PBORF7AOJGLY7XOMX

not attested not anchored not stored refs pending

A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation

Marek Fila, Michael Winkler

arxiv:1710.11312 v1 · 2017-10-31 · 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{5XU2H33A6PBORF7AOJGLY7XOMX}

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	2026-05-18T00:31:44.247376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede9a3ef60f3c2e897e0724cbc7eee65e29b6f4bdf1ac7507741cb2a735e75a2

Aliases

arxiv: 1710.11312 · arxiv_version: 1710.11312v1 · doi: 10.48550/arxiv.1710.11312 · pith_short_12: 5XU2H33A6PBO · pith_short_16: 5XU2H33A6PBORF7A · pith_short_8: 5XU2H33A

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/5XU2H33A6PBORF7AOJGLY7XOMX \
  | 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: ede9a3ef60f3c2e897e0724cbc7eee65e29b6f4bdf1ac7507741cb2a735e75a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed30ddb61c87d65caa24d5772651c628bef529f4df4a50cc192f064cdbb13b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-31T03:37:36Z",
    "title_canon_sha256": "c9e0ac508d9e519ee717ac5958f5eaff990a718a7cd65c690adb6f87c3b22db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11312",
    "kind": "arxiv",
    "version": 1
  }
}