Pith Number

pith:GK3XYNUS

pith:2015:GK3XYNUS6JGMBLOK6WOL4TDXY4

not attested not anchored not stored refs pending

Determinantal structures in the O'Connell-Yor directed random polymer model

Takashi Imamura, Tomohiro Sasamoto

arxiv:1506.05548 v2 · 2015-06-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GK3XYNUS6JGMBLOK6WOL4TDXY4}

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	2026-05-18T00:52:08.628746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b77c3692f24cc0adcaf59cbe4c77c7344e9e2f5fd0de3bc5ba3c6991b50973

Aliases

arxiv: 1506.05548 · arxiv_version: 1506.05548v2 · doi: 10.48550/arxiv.1506.05548 · pith_short_12: GK3XYNUS6JGM · pith_short_16: GK3XYNUS6JGMBLOK · pith_short_8: GK3XYNUS

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/GK3XYNUS6JGMBLOK6WOL4TDXY4 \
  | 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: 32b77c3692f24cc0adcaf59cbe4c77c7344e9e2f5fd0de3bc5ba3c6991b50973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b3e788b8e208bcfbdcd4e6531b58b6ed2f4250d72715dfddb294e62a80fd06e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-18T04:56:37Z",
    "title_canon_sha256": "b2e6b4968cfa1a1773f77361868900c501cc4a19fba09ec78eb4ce85fb4875d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05548",
    "kind": "arxiv",
    "version": 2
  }
}