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Pith Number

pith:L4A4AM3F

pith:2017:L4A4AM3FL5RFPJFFCLVUTYXUT5
not attested not anchored not stored refs pending

Optimal paths on the road network as directed polymers

A. P. Solon, G. Bunin, M. Kardar, S. Chu

arxiv:1706.00489 v1 · 2017-06-01 · cond-mat.stat-mech · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L4A4AM3FL5RFPJFFCLVUTYXUT5}

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 2026-05-18T00:31:06.772499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5f01c033655f6257a4a512eb49e2f49f6ba0611cb6a6ba361a93d54b96ee8cf2

Aliases

arxiv: 1706.00489 · arxiv_version: 1706.00489v1 · doi: 10.48550/arxiv.1706.00489 · pith_short_12: L4A4AM3FL5RF · pith_short_16: L4A4AM3FL5RFPJFF · pith_short_8: L4A4AM3F
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L4A4AM3FL5RFPJFFCLVUTYXUT5 \
  | 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: 5f01c033655f6257a4a512eb49e2f49f6ba0611cb6a6ba361a93d54b96ee8cf2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "715ac594db6ec503a007674ebc72b665595d8e0c278065e88aab98d23ec4b2fd",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-06-01T20:41:16Z",
    "title_canon_sha256": "7dbc2ffe16cff4b3345aa6ff5e5e928e4f512d690205c3b71eb5ddabe87896b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00489",
    "kind": "arxiv",
    "version": 1
  }
}