Pith Number

pith:YQT5PYRN

pith:2010:YQT5PYRNWNZRKVTS7EMNKMSWU5

not attested not anchored not stored refs pending

A remark on the subleading order in the asymptotics of the nonequilibrium emptiness formation probability

Walter H. Aschbacher

arxiv:1009.1584 v1 · 2010-09-08 · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQT5PYRNWNZRKVTS7EMNKMSWU5}

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	2026-05-18T04:27:17.837590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c427d7e22db373155672f918d53256a768009e624104d99b5bba34aa77cb393f

Aliases

arxiv: 1009.1584 · arxiv_version: 1009.1584v1 · doi: 10.48550/arxiv.1009.1584 · pith_short_12: YQT5PYRNWNZR · pith_short_16: YQT5PYRNWNZRKVTS · pith_short_8: YQT5PYRN

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/YQT5PYRNWNZRKVTS7EMNKMSWU5 \
  | 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: c427d7e22db373155672f918d53256a768009e624104d99b5bba34aa77cb393f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753b3c383227ae74d77c84f1400da3b1eb6a32c2f5902fec92f78011eff55f31",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-08T16:43:55Z",
    "title_canon_sha256": "267d60e1e506a06691bd2d7fb64fb3c6dde32f9c9e49f4968fc01836fc480e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1584",
    "kind": "arxiv",
    "version": 1
  }
}