Pith Number

pith:U6V6OBH3

pith:2013:U6V6OBH3MR7DAODYVC3JPAB25Q

not attested not anchored not stored refs pending

An approach without using Hardy inequality for the linear heat equation with singular potential

Cl\'audia Aline A. S. Mesquita, Lucas C. F. Ferreira

arxiv:1307.6464 v1 · 2013-07-24 · 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{U6V6OBH3MR7DAODYVC3JPAB25Q}

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	2026-05-18T03:17:36.466796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7abe704fb647e303878a8b697803aec045d00319ceef5a1369aab658a2090d9

Aliases

arxiv: 1307.6464 · arxiv_version: 1307.6464v1 · doi: 10.48550/arxiv.1307.6464 · pith_short_12: U6V6OBH3MR7D · pith_short_16: U6V6OBH3MR7DAODY · pith_short_8: U6V6OBH3

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/U6V6OBH3MR7DAODYVC3JPAB25Q \
  | 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: a7abe704fb647e303878a8b697803aec045d00319ceef5a1369aab658a2090d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35de5950ddcd4a28995c8eea57a96b1d7531c43064517dfdc97b0e26236f46aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-24T15:47:56Z",
    "title_canon_sha256": "3c76a772cd94c3aad0b9abf43836d20388dd74cb10a6dfbb841047dbebf3724e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6464",
    "kind": "arxiv",
    "version": 1
  }
}