Pith Number

pith:BC5PUHOK

pith:2019:BC5PUHOKTS7KVGC4HTFMIWEWBU

not attested not anchored not stored refs pending

A multiscale reduced basis method for Schr\"{o}dinger equation with multiscale and random potentials

Dingjiong Ma, Jingrun Chen, Zhiwen Zhang

arxiv:1907.00349 v1 · 2019-06-30 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BC5PUHOKTS7KVGC4HTFMIWEWBU}

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	2026-05-17T23:41:52.067070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08bafa1dca9cbeaa985c3ccac458960d0ddfbd2da2ae99ae9f25122b5eb234bd

Aliases

arxiv: 1907.00349 · arxiv_version: 1907.00349v1 · doi: 10.48550/arxiv.1907.00349 · pith_short_12: BC5PUHOKTS7K · pith_short_16: BC5PUHOKTS7KVGC4 · pith_short_8: BC5PUHOK

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/BC5PUHOKTS7KVGC4HTFMIWEWBU \
  | 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: 08bafa1dca9cbeaa985c3ccac458960d0ddfbd2da2ae99ae9f25122b5eb234bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b989992ea129ee27030b3714b8bd6c35cee153fc3cc534bd9ea3bf5c96992755",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-30T10:04:30Z",
    "title_canon_sha256": "b4629d8817d4d22a7434b7c06d5687c21ca37212676d1f89b940d7218a391518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00349",
    "kind": "arxiv",
    "version": 1
  }
}