Pith Number

pith:PHZWD7WL

pith:2012:PHZWD7WLB4WYWI2JVWETIOCYTM

not attested not anchored not stored refs pending

Perturbation results for some nonlinear equations involving fractional operators

Simone Secchi

arxiv:1208.2644 v1 · 2012-08-13 · 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{PHZWD7WLB4WYWI2JVWETIOCYTM}

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	2026-05-18T03:48:57.365631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f361fecb0f2d8b2349ad893438589b03711dbe9925d19175ee5a0ea7162b80

Aliases

arxiv: 1208.2644 · arxiv_version: 1208.2644v1 · doi: 10.48550/arxiv.1208.2644 · pith_short_12: PHZWD7WLB4WY · pith_short_16: PHZWD7WLB4WYWI2J · pith_short_8: PHZWD7WL

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/PHZWD7WLB4WYWI2JVWETIOCYTM \
  | 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: 79f361fecb0f2d8b2349ad893438589b03711dbe9925d19175ee5a0ea7162b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4be9e9f2fca1b2e1c9120cab810e2ee223649354d9b281fc15fb8854fa92025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-13T17:19:52Z",
    "title_canon_sha256": "20c760892fff272de81a0efcc822f6cdecc8847246f4d0789f7d9c1a044e9406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2644",
    "kind": "arxiv",
    "version": 1
  }
}