Pith Number

pith:PDD7E3SZ

pith:2018:PDD7E3SZ3QCA27DDHEHRMMBYED

not attested not anchored not stored refs pending

Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs

Enrico Serra, Paolo Tilli, Riccardo Adami, Simone Dovetta

arxiv:1805.02521 v1 · 2018-05-07 · 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{PDD7E3SZ3QCA27DDHEHRMMBYED}

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	2026-05-17T23:51:33.904086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c7f26e59dc040d7c63390f16303820d7e827b9c958f9c6d8fa08d2e61cd0c5

Aliases

arxiv: 1805.02521 · arxiv_version: 1805.02521v1 · doi: 10.48550/arxiv.1805.02521 · pith_short_12: PDD7E3SZ3QCA · pith_short_16: PDD7E3SZ3QCA27DD · pith_short_8: PDD7E3SZ

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/PDD7E3SZ3QCA27DDHEHRMMBYED \
  | 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: 78c7f26e59dc040d7c63390f16303820d7e827b9c958f9c6d8fa08d2e61cd0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f11834409d70b6d2f249587cafc57c7d8c4877b9acc577a0ea25c9e971756c90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-07T13:33:49Z",
    "title_canon_sha256": "239e0598b4f1cbf9e7d68c8d6bff7ec97b1156be47e05663b43b5ceaaf445a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02521",
    "kind": "arxiv",
    "version": 1
  }
}