Pith Number

pith:A6ZTFCSV

pith:2018:A6ZTFCSVLZA5BQOPNRAYNIAMPW

not attested not anchored not stored refs pending

Existence of Scaling Limit Phase Transition in a Two-dimensional Random Polymer Model

Luis R. Lucinger, Roberto Vila

arxiv:1811.09733 v2 · 2018-11-24 · 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{A6ZTFCSVLZA5BQOPNRAYNIAMPW}

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	2026-05-17T23:43:17.140985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd

Aliases

arxiv: 1811.09733 · arxiv_version: 1811.09733v2 · doi: 10.48550/arxiv.1811.09733 · pith_short_12: A6ZTFCSVLZA5 · pith_short_16: A6ZTFCSVLZA5BQOP · pith_short_8: A6ZTFCSV

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/A6ZTFCSVLZA5BQOPNRAYNIAMPW \
  | 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: 07b3328a555e41d0c1cf6c4186a00c7d807569a566d584d85d63bf11c867dfdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdd7943f6661dd0b30c5c22192f022fd00f8582a181c157785ca0c857b880ba",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-24T00:57:54Z",
    "title_canon_sha256": "bf340098ab9eb9942b58cca3083b282a2e11b68ee43a2a4c332c0b2616be62a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09733",
    "kind": "arxiv",
    "version": 2
  }
}