Pith Number

pith:MGP2Q4HB

pith:2017:MGP2Q4HBS75UNKCPEDYC5KFJ77

not attested not anchored not stored refs pending

Classical solutions for the system ${\text{curl}\,v=g}$, with vanishing Dirichlet boundary conditions

Luigi C. Berselli, Placido Longo

arxiv:1712.07948 v1 · 2017-12-21 · 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{MGP2Q4HBS75UNKCPEDYC5KFJ77}

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	2026-05-17T23:46:42.001011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619fa870e197fb46a84f20f02ea8a9fff3890a3efab145e5165e79d09c864ade

Aliases

arxiv: 1712.07948 · arxiv_version: 1712.07948v1 · doi: 10.48550/arxiv.1712.07948 · pith_short_12: MGP2Q4HBS75U · pith_short_16: MGP2Q4HBS75UNKCP · pith_short_8: MGP2Q4HB

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/MGP2Q4HBS75UNKCPEDYC5KFJ77 \
  | 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: 619fa870e197fb46a84f20f02ea8a9fff3890a3efab145e5165e79d09c864ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6326b01f1483096d8b940c3d976691cc0177dc364d28ebc1c711e423581164cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-21T14:12:00Z",
    "title_canon_sha256": "94b16a26af69b2dae8d4f0021204003e244f7ffc9672dab5b5d31e503d8e3c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07948",
    "kind": "arxiv",
    "version": 1
  }
}