Pith Number

pith:3CDLMBRL

pith:2015:3CDLMBRLCVA7ZP4ZR6WMU3ZIQX

not attested not anchored not stored refs pending

Gabor Frames of Gaussian Beams for the Schr\"odinger equation

Elena Cordero, Fabio Nicola, Martina Bulai, Michele Berra

arxiv:1501.04949 v2 · 2015-01-20 · 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{3CDLMBRLCVA7ZP4ZR6WMU3ZIQX}

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	2026-05-18T02:28:39.663073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d886b6062b1541fcbf998facca6f2885c214bbb28ea02e27236127d40a4c4728

Aliases

arxiv: 1501.04949 · arxiv_version: 1501.04949v2 · doi: 10.48550/arxiv.1501.04949 · pith_short_12: 3CDLMBRLCVA7 · pith_short_16: 3CDLMBRLCVA7ZP4Z · pith_short_8: 3CDLMBRL

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/3CDLMBRLCVA7ZP4ZR6WMU3ZIQX \
  | 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: d886b6062b1541fcbf998facca6f2885c214bbb28ea02e27236127d40a4c4728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1623727dfc37bc0984a1a093cc2cde45d0c514dc3a4c679e23ffa38bed4a6098",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-20T20:32:54Z",
    "title_canon_sha256": "1b0ec7b4108f98dc666815ad400a484475e8d96ca8a13808ae21042158d2e58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04949",
    "kind": "arxiv",
    "version": 2
  }
}