Pith Number

pith:MCJXSQIM

pith:2014:MCJXSQIMURZLAHJOOQGC34BVC4

not attested not anchored not stored refs pending

Error Estimates of the Bloch Band-Based Gaussian Beam Superposition for the Schr\"odinger Equation

Hailiang Liu, Maksym Pryporov

arxiv:1401.6221 v1 · 2014-01-24 · 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{MCJXSQIMURZLAHJOOQGC34BVC4}

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	2026-05-18T03:01:12.832094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609379410ca472b01d2e740c2df035170993653f3365ee9257d478999450fb14

Aliases

arxiv: 1401.6221 · arxiv_version: 1401.6221v1 · doi: 10.48550/arxiv.1401.6221 · pith_short_12: MCJXSQIMURZL · pith_short_16: MCJXSQIMURZLAHJO · pith_short_8: MCJXSQIM

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/MCJXSQIMURZLAHJOOQGC34BVC4 \
  | 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: 609379410ca472b01d2e740c2df035170993653f3365ee9257d478999450fb14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc17efe5acbc9da0d082e3d72ff2f472020bb40e02c756d199e9c5c32453374d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-24T00:02:44Z",
    "title_canon_sha256": "17412fde36bbd25969080b7b6addb83fd6863f5f5c22713c1dc7cece183cec6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6221",
    "kind": "arxiv",
    "version": 1
  }
}