Pith Number

pith:6AFJ3DHA

pith:2016:6AFJ3DHARMIWPRH3IAREFS3M5P

not attested not anchored not stored refs pending

Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents

Angela Pistoia, Tonia Ricciardi

arxiv:1606.07724 v1 · 2016-06-24 · 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{6AFJ3DHARMIWPRH3IAREFS3M5P}

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	2026-05-18T01:11:55.825886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00a9d8ce08b1167c4fb402242cb6cebce073dc89106a2113e55bf0801403134

Aliases

arxiv: 1606.07724 · arxiv_version: 1606.07724v1 · doi: 10.48550/arxiv.1606.07724 · pith_short_12: 6AFJ3DHARMIW · pith_short_16: 6AFJ3DHARMIWPRH3 · pith_short_8: 6AFJ3DHA

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/6AFJ3DHARMIWPRH3IAREFS3M5P \
  | 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: f00a9d8ce08b1167c4fb402242cb6cebce073dc89106a2113e55bf0801403134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a16d6999d96001e48562822966eac991e93e08da7ac33e434086bf9ed1f8c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-24T15:29:28Z",
    "title_canon_sha256": "1fb00eb08410c1a7a484d867f2a44a1f02faf4d25cfcd31b582b2563410216ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07724",
    "kind": "arxiv",
    "version": 1
  }
}