Pith Number

pith:HLELJIBP

pith:2011:HLELJIBPCDNNTEDEJCVG2ZEXQS

not attested not anchored not stored refs pending

The dynamics of the Schr\"odinger flow from the point of view of semiclassical measures

Fabricio Macia, Nalini Anantharaman

arxiv:1102.0970 v2 · 2011-02-04 · math.AP · math-ph · math.MP · 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{HLELJIBPCDNNTEDEJCVG2ZEXQS}

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	2026-05-18T04:11:28.822337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac8b4a02f10dad9906448aa6d64978483273f8c1ed7656204a3ad14eaa6f69f

Aliases

arxiv: 1102.0970 · arxiv_version: 1102.0970v2 · doi: 10.48550/arxiv.1102.0970 · pith_short_12: HLELJIBPCDNN · pith_short_16: HLELJIBPCDNNTEDE · pith_short_8: HLELJIBP

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/HLELJIBPCDNNTEDEJCVG2ZEXQS \
  | 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: 3ac8b4a02f10dad9906448aa6d64978483273f8c1ed7656204a3ad14eaa6f69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb82ba59ec7398bca4ff79cf9a038a376a35e4f32e2c896d7d2066d090bc9d2c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-04T16:57:14Z",
    "title_canon_sha256": "f82879f49541c8aaedb862389ebfde12f71940eede8c46ff6c7bcc0f333bd5b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0970",
    "kind": "arxiv",
    "version": 2
  }
}