Pith Number

pith:UME43PZE

pith:2010:UME43PZE6ARYBPHHA5PIUOOJXT

not attested not anchored not stored refs pending

Semiclassical limit for mixed states with singular and rough potentials

Alessio Figalli, Marilena Ligabo, Thierry Paul (CMLS-EcolePolytechnique)

arxiv:1012.2483 v1 · 2010-12-11 · 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{UME43PZE6ARYBPHHA5PIUOOJXT}

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	2026-05-18T04:33:28.531045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a309cdbf24f02380bce7075e8a39c9bccf2aebd50a5fba7d86efc2e230d9f94a

Aliases

arxiv: 1012.2483 · arxiv_version: 1012.2483v1 · doi: 10.48550/arxiv.1012.2483 · pith_short_12: UME43PZE6ARY · pith_short_16: UME43PZE6ARYBPHH · pith_short_8: UME43PZE

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/UME43PZE6ARYBPHHA5PIUOOJXT \
  | 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: a309cdbf24f02380bce7075e8a39c9bccf2aebd50a5fba7d86efc2e230d9f94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c61956a538e9e0fdc991c1388c124f508477df2e714c4da8f2a9c9bb9debb5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-11T19:43:11Z",
    "title_canon_sha256": "27da571e85514a9a0b8405b352e67179003b076729f772947c0457aff52121d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2483",
    "kind": "arxiv",
    "version": 1
  }
}