Pith Number

pith:6EZHJ7U3

pith:2010:6EZHJ7U3CQ3SSRCQXOQ5XBW7CR

not attested not anchored not stored refs pending

Semiclassical measures for the Schr\"odinger equation on the torus

Fabricio Maci\`a (UPM), Nalini Anantharaman (LM-Orsay)

arxiv:1005.0296 v2 · 2010-04-29 · math.FA · 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{6EZHJ7U3CQ3SSRCQXOQ5XBW7CR}

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	2026-05-18T04:13:16.155439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13274fe9b1437294450bba1db86df1461ea0571d4aa07bb8c6d256958b69e56

Aliases

arxiv: 1005.0296 · arxiv_version: 1005.0296v2 · doi: 10.48550/arxiv.1005.0296 · pith_short_12: 6EZHJ7U3CQ3S · pith_short_16: 6EZHJ7U3CQ3SSRCQ · pith_short_8: 6EZHJ7U3

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/6EZHJ7U3CQ3SSRCQXOQ5XBW7CR \
  | 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: f13274fe9b1437294450bba1db86df1461ea0571d4aa07bb8c6d256958b69e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebccc37d1865642422bea0a10de5fdf54e203e10abbf24af92b4a324e36b139e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-29T06:42:16Z",
    "title_canon_sha256": "a045683bdf8730b01ca724595f08f1fd5183d3133162303fbfb4018c1a13c18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0296",
    "kind": "arxiv",
    "version": 2
  }
}