Pith Number

pith:FIWRVUQR

pith:2016:FIWRVUQRYWIQM55TS3ZT5SP7K3

not attested not anchored not stored refs pending

Criticality and subcriticality of generalized Schr\"odinger forms with non-local perturbations

Liping Li

arxiv:1603.07038 v3 · 2016-03-23 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIWRVUQRYWIQM55TS3ZT5SP7K3}

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	2026-05-18T01:02:20.914659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2d1ad211c5910677b396f33ec9ff56ffb630362438077e2837f815a9029a50

Aliases

arxiv: 1603.07038 · arxiv_version: 1603.07038v3 · doi: 10.48550/arxiv.1603.07038 · pith_short_12: FIWRVUQRYWIQ · pith_short_16: FIWRVUQRYWIQM55T · pith_short_8: FIWRVUQR

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/FIWRVUQRYWIQM55TS3ZT5SP7K3 \
  | 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: 2a2d1ad211c5910677b396f33ec9ff56ffb630362438077e2837f815a9029a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b576e53cc7bae3f173f89c3eb129e191dda26db6389ec793157d27a0edc0a77d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-23T00:52:12Z",
    "title_canon_sha256": "9d02fe1a7dc34726050607397d7502e6a7490dc68d914620a21664b9d7b0c794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07038",
    "kind": "arxiv",
    "version": 3
  }
}