Pith Number

pith:HAAIHAFE

pith:2017:HAAIHAFEQLN5BEZFFZIUWV6SHM

not attested not anchored not stored refs pending

Asymptotic behaviour for the Fractional Heat Equation in the Euclidean space

Juan Luis V\'azquez

arxiv:1708.00821 v2 · 2017-08-01 · 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{HAAIHAFEQLN5BEZFFZIUWV6SHM}

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	2026-05-18T00:32:39.587620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38008380a482dbd093252e514b57d23b18e56fa7f4ce8802c12a8b6e3ef49eb3

Aliases

arxiv: 1708.00821 · arxiv_version: 1708.00821v2 · doi: 10.48550/arxiv.1708.00821 · pith_short_12: HAAIHAFEQLN5 · pith_short_16: HAAIHAFEQLN5BEZF · pith_short_8: HAAIHAFE

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/HAAIHAFEQLN5BEZFFZIUWV6SHM \
  | 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: 38008380a482dbd093252e514b57d23b18e56fa7f4ce8802c12a8b6e3ef49eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e56c58c4a2d2837de86d738bb54f6c7e3a9119c5e51cb0e881d3f8dd7734c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-01T17:33:03Z",
    "title_canon_sha256": "51da7f63e2d49b4954f39f970b7be6c30daf46fcc08c21b627820e212efc3e50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00821",
    "kind": "arxiv",
    "version": 2
  }
}