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Pith Number

pith:ZBTZVG56

pith:2017:ZBTZVG56BQB4AW2RZJCFR4RN4U
not attested not anchored not stored refs pending

Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

Alberto Rosso, Christophe Texier, Pierre Le Doussal, Yan V Fyodorov

arxiv:1703.10066 v3 · 2017-03-29 · cond-mat.dis-nn · cond-mat.stat-mech · math-ph · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZBTZVG56BQB4AW2RZJCFR4RN4U}

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 2026-05-18T00:07:18.746925Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8679a9bbe0c03c05b51ca4458f22de5096358ec88042bdb36ec76bb58a4740e

Aliases

arxiv: 1703.10066 · arxiv_version: 1703.10066v3 · doi: 10.48550/arxiv.1703.10066 · pith_short_12: ZBTZVG56BQB4 · pith_short_16: ZBTZVG56BQB4AW2R · pith_short_8: ZBTZVG56
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZBTZVG56BQB4AW2RZJCFR4RN4U \
  | 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: c8679a9bbe0c03c05b51ca4458f22de5096358ec88042bdb36ec76bb58a4740e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f16653c3cf49189d267a5de3e26398253f31182a3373d364326d6570c3b2b1e6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2017-03-29T14:29:48Z",
    "title_canon_sha256": "8d1595a02a5a4169a0ea701aec8c472a99117eff07261c72f69624e7425afc25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10066",
    "kind": "arxiv",
    "version": 3
  }
}