Pith Number

pith:3MUI2USL

pith:2015:3MUI2USLYN3QUGT6UQXPYLXVRK

not attested not anchored not stored refs pending

On multiple solutions for nonlocal fractional problems via $\nabla$-theorems

Dimitri Mugnai, Giovanni Molica Bisci, Raffaella Servadei

arxiv:1510.08701 v1 · 2015-10-29 · 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{3MUI2USLYN3QUGT6UQXPYLXVRK}

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	2026-05-18T01:28:27.004840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db288d524bc3770a1a7ea42efc2ef58a88e3a0b244faae305c1dc269f4b0a077

Aliases

arxiv: 1510.08701 · arxiv_version: 1510.08701v1 · doi: 10.48550/arxiv.1510.08701 · pith_short_12: 3MUI2USLYN3Q · pith_short_16: 3MUI2USLYN3QUGT6 · pith_short_8: 3MUI2USL

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/3MUI2USLYN3QUGT6UQXPYLXVRK \
  | 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: db288d524bc3770a1a7ea42efc2ef58a88e3a0b244faae305c1dc269f4b0a077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97503e10fe6a94aa12834d0c0d31276f847ea496df4fe67460f92d36c32630aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-29T14:14:23Z",
    "title_canon_sha256": "1db04f60c54125a9bc4f915f799d1792dd705552f278862732eca3291f0a65e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08701",
    "kind": "arxiv",
    "version": 1
  }
}