Pith Number

pith:TLYMJLYQ

pith:2016:TLYMJLYQSDJDGJPLV6ENYON5NA

not attested not anchored not stored refs pending

Nonlinear Luttinger liquid: Exact result for the Green function in terms of the fourth Painlev\'e transcendent

Austen Lamacraft, D. L. Kovrizhin, Tom Price

arxiv:1606.08702 v3 · 2016-06-28 · cond-mat.quant-gas · math-ph · 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{TLYMJLYQSDJDGJPLV6ENYON5NA}

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	2026-05-18T00:18:04.354984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af0c4af1090d23325ebaf88dc39bd680d656f894ffb3073f6942356e1e78fb4

Aliases

arxiv: 1606.08702 · arxiv_version: 1606.08702v3 · doi: 10.48550/arxiv.1606.08702 · pith_short_12: TLYMJLYQSDJD · pith_short_16: TLYMJLYQSDJDGJPL · pith_short_8: TLYMJLYQ

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/TLYMJLYQSDJDGJPLV6ENYON5NA \
  | 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: 9af0c4af1090d23325ebaf88dc39bd680d656f894ffb3073f6942356e1e78fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba9b559f15a66449a01cffff1455cb5885d43a3e973b0caaeda226030591b65",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2016-06-28T13:51:00Z",
    "title_canon_sha256": "24694400cbec4b615e921308fba544c398f16950fd95316278d01d73c7e87e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08702",
    "kind": "arxiv",
    "version": 3
  }
}