Pith Number

pith:CUTIRL5Y

pith:2015:CUTIRL5YVDLPVHGIC45Z4JPA5H

not attested not anchored not stored refs pending

Identification of the twisting function for the dynamic Schr\"odinger operator in a quantum waveguide

Eric Soccorsi (CPT), Michel Cristofol (I2M), Mourad Bellassoued (FRDP)

arxiv:1512.07762 v1 · 2015-12-24 · 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{CUTIRL5YVDLPVHGIC45Z4JPA5H}

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	2026-05-18T01:23:47.888863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

152688afb8a8d6fa9cc8173b9e25e0e9d27d6006c206fffad993f94935cfe1aa

Aliases

arxiv: 1512.07762 · arxiv_version: 1512.07762v1 · doi: 10.48550/arxiv.1512.07762 · pith_short_12: CUTIRL5YVDLP · pith_short_16: CUTIRL5YVDLPVHGI · pith_short_8: CUTIRL5Y

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/CUTIRL5YVDLPVHGIC45Z4JPA5H \
  | 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: 152688afb8a8d6fa9cc8173b9e25e0e9d27d6006c206fffad993f94935cfe1aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f019e28b46bd20d368b3c5810ff8d9c10686bd14b6e51d723669200f1f0442bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-24T09:00:02Z",
    "title_canon_sha256": "7dad0cf49f6c6a119826df89ee581eb0b0d8fc3388500fc990cac3fcf9954016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07762",
    "kind": "arxiv",
    "version": 1
  }
}