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Pith Number

pith:HJXC3N6M

pith:1999:HJXC3N6MAKN5CIWARJM4FKWKXK
not attested not anchored not stored refs pending

Directed polymers at finite temperatures in 1+1 and 2+1 dimensions

Moshe Schwartz, Shlomo Havlin, Xiao-Hong Wang

arxiv:cond-mat/9912341 v1 · 1999-12-19 · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HJXC3N6MAKN5CIWARJM4FKWKXK}

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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 2026-05-18T04:34:01.602333Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a6e2db7cc029bd122c08a59c2aacaba9befda0d6e1a0744a4e465d45ee83002

Aliases

arxiv: cond-mat/9912341 · arxiv_version: cond-mat/9912341v1 · doi: 10.48550/arxiv.cond-mat/9912341 · pith_short_12: HJXC3N6MAKN5 · pith_short_16: HJXC3N6MAKN5CIWA · pith_short_8: HJXC3N6M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJXC3N6MAKN5CIWARJM4FKWKXK \
  | 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: 3a6e2db7cc029bd122c08a59c2aacaba9befda0d6e1a0744a4e465d45ee83002
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "685c2ff01911b8883e9e50fc125e8c1c9c2b8e10a446f8e6f27ccb4dc58b2c3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "1999-12-19T09:47:07Z",
    "title_canon_sha256": "d7ea5d774bfadef9a580a4653e40ed27c5fcc2d39596749a8c309619c2feae06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9912341",
    "kind": "arxiv",
    "version": 1
  }
}