Pith Number

pith:CL7SXPHW

pith:2015:CL7SXPHWT6KD4TSBNXG47CC5Z4

not attested not anchored not stored refs pending

Crossing probability for directed polymers in random media: exact tail of the distribution

Andrea De Luca, Pierre Le Doussal

arxiv:1511.05387 v1 · 2015-11-17 · cond-mat.stat-mech · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CL7SXPHWT6KD4TSBNXG47CC5Z4}

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	2026-05-18T01:18:30.703894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ff2bbcf69f943e4e416dcdcf885dcf17b2452c3cb8a835395df453ccebcf1d

Aliases

arxiv: 1511.05387 · arxiv_version: 1511.05387v1 · doi: 10.48550/arxiv.1511.05387 · pith_short_12: CL7SXPHWT6KD · pith_short_16: CL7SXPHWT6KD4TSB · pith_short_8: CL7SXPHW

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/CL7SXPHWT6KD4TSBNXG47CC5Z4 \
  | 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: 12ff2bbcf69f943e4e416dcdcf885dcf17b2452c3cb8a835395df453ccebcf1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86558a54d92be467b735ad88ba45d365ff3990ec0abfeaf4cf779822ddc8c186",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-17T13:08:48Z",
    "title_canon_sha256": "a538ba3ca5866f71c5d0bf8869ed7889addbc5a112eeefe25a363e09cdeb8abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05387",
    "kind": "arxiv",
    "version": 1
  }
}