Pith Number

pith:LL3SOJJL

pith:2011:LL3SOJJL24XRNXS7WDK64DE5RQ

not attested not anchored not stored refs pending

Semiclassical limits of eigenfunctions on flat $n$-dimensional tori

Tayeb Aissiou

arxiv:1110.0871 v1 · 2011-10-04 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LL3SOJJL24XRNXS7WDK64DE5RQ}

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	2026-05-18T04:11:40.305564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af727252bd72f16de5fb0d5ee0c9d8c3fe07aaed5446a548153e7aa10159a6a

Aliases

arxiv: 1110.0871 · arxiv_version: 1110.0871v1 · doi: 10.48550/arxiv.1110.0871 · pith_short_12: LL3SOJJL24XR · pith_short_16: LL3SOJJL24XRNXS7 · pith_short_8: LL3SOJJL

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/LL3SOJJL24XRNXS7WDK64DE5RQ \
  | 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: 5af727252bd72f16de5fb0d5ee0c9d8c3fe07aaed5446a548153e7aa10159a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9546a5c42db95d58d0848cc34474de10d6c6c67caef277821e43cea33efdbe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-04T23:44:33Z",
    "title_canon_sha256": "fa9f508c92156952e276814ddd343ceb1e80f2ee1e1cc7b1d14597f97cf936da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0871",
    "kind": "arxiv",
    "version": 1
  }
}