Pith. sign in
Pith Number

pith:VJFBROEY

pith:2021:VJFBROEYY666TQURJCDZCBK7MH
not attested not anchored not stored refs pending

High temperature behaviors of the directed polymer on a cylinder

\'Eric Brunet, Tomasz Komorowski, Yu Gu

arxiv:2110.07368 v3 · 2021-10-14 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VJFBROEYY666TQURJCDZCBK7MH}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T05:40:19.986795Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aa4a18b898c7bde9c291488791055f61cc409cb5b2ddde1d23fe56e7d9ab2c1b

Aliases

arxiv: 2110.07368 · arxiv_version: 2110.07368v3 · doi: 10.48550/arxiv.2110.07368 · pith_short_12: VJFBROEYY666 · pith_short_16: VJFBROEYY666TQUR · pith_short_8: VJFBROEY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VJFBROEYY666TQURJCDZCBK7MH \
  | 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: aa4a18b898c7bde9c291488791055f61cc409cb5b2ddde1d23fe56e7d9ab2c1b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "48f2228ca1719d3feeabf964f889aca3f11b8b599847fe8b5d2337b7870739e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-10-14T13:56:07Z",
    "title_canon_sha256": "cd36ea19f9f5d77a1127923ebde1c8cf4d5fbe15252999c586ab3ac83b8af1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07368",
    "kind": "arxiv",
    "version": 3
  }
}