Pith Number

pith:FAI56ZD5

pith:2015:FAI56ZD5VGLW6RK7GWYHF4DPNM

not attested not anchored not stored refs pending

The Hardy inequality and the heat flow in curved wedges

David Krejcirik

arxiv:1507.03627 v2 · 2015-07-13 · math.SP · math-ph · math.AP · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAI56ZD5VGLW6RK7GWYHF4DPNM}

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	2026-05-18T01:16:20.256790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2811df647da9976f455f35b072f06f6b2005a6ebdae2781582cc1ee599556c6d

Aliases

arxiv: 1507.03627 · arxiv_version: 1507.03627v2 · doi: 10.48550/arxiv.1507.03627 · pith_short_12: FAI56ZD5VGLW · pith_short_16: FAI56ZD5VGLW6RK7 · pith_short_8: FAI56ZD5

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/FAI56ZD5VGLW6RK7GWYHF4DPNM \
  | 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: 2811df647da9976f455f35b072f06f6b2005a6ebdae2781582cc1ee599556c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c21418986b8aa44524649d9733753bbe349d034fae983bbf392f1e84643f92",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-13T21:42:53Z",
    "title_canon_sha256": "d9e7006e3f4bf7b1740b6fcbce40a7e986fca482176b0047120ed772d1ace447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03627",
    "kind": "arxiv",
    "version": 2
  }
}