Pith Number

pith:R3AJCOW7

pith:2015:R3AJCOW7QQDHMRN4LMZKMA6CPM

not attested not anchored not stored refs pending

Threshold phenomena and existence results for NLS ground states on graphs

Enrico Serra, Paolo Tilli, Riccardo Adami

arxiv:1505.03714 v1 · 2015-05-14 · 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{R3AJCOW7QQDHMRN4LMZKMA6CPM}

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	2026-05-18T02:09:53.218246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec0913adf84067645bc5b32a603c27b2e66d6a2d69b5f7b8f8265b818866779

Aliases

arxiv: 1505.03714 · arxiv_version: 1505.03714v1 · doi: 10.48550/arxiv.1505.03714 · pith_short_12: R3AJCOW7QQDH · pith_short_16: R3AJCOW7QQDHMRN4 · pith_short_8: R3AJCOW7

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/R3AJCOW7QQDHMRN4LMZKMA6CPM \
  | 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: 8ec0913adf84067645bc5b32a603c27b2e66d6a2d69b5f7b8f8265b818866779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6da2b71ed6fd52be4571614c3ee1b4bc1972da32c3d2213fa8a86e3702ab9769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-14T13:15:20Z",
    "title_canon_sha256": "4ee27a94d42eb746c72e27eb06fe7ea8e87e381532e81899160b33dc2d5ad7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03714",
    "kind": "arxiv",
    "version": 1
  }
}