Pith Number

pith:FNDDEEFQ

pith:2017:FNDDEEFQQT7AON5R7WWVD54L6P

not attested not anchored not stored refs pending

A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions

A. Quaas, B. Barrios, J. Garcia-Melian, L. Del Pezzo

arxiv:1705.05632 v2 · 2017-05-16 · 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{FNDDEEFQQT7AON5R7WWVD54L6P}

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	2026-05-18T00:34:34.941216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b463210b084fe0737b1fdad51f78bf3edf7c2c58e8b7c660e54be81e2af0610

Aliases

arxiv: 1705.05632 · arxiv_version: 1705.05632v2 · doi: 10.48550/arxiv.1705.05632 · pith_short_12: FNDDEEFQQT7A · pith_short_16: FNDDEEFQQT7AON5R · pith_short_8: FNDDEEFQ

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/FNDDEEFQQT7AON5R7WWVD54L6P \
  | 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: 2b463210b084fe0737b1fdad51f78bf3edf7c2c58e8b7c660e54be81e2af0610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e675564eed34a15dc1c261e52a99cb486ca3eefd5c576e63dba27e7163e7ee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-16T10:35:37Z",
    "title_canon_sha256": "45200dde6f5cb68189d9ee87837a3d42966ba405c4813d3a5d94c32f4d6c875f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05632",
    "kind": "arxiv",
    "version": 2
  }
}