Pith Number

pith:EK66AYT3

pith:2009:EK66AYT3ADZWZHJY43QDQUBQEV

not attested not anchored not stored refs pending

Directed polymers and the quantum Toda lattice

Neil O'Connell

arxiv:0910.0069 v7 · 2009-10-01 · math.PR · 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{EK66AYT3ADZWZHJY43QDQUBQEV}

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	2026-05-18T03:59:12.467886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bde0627b00f36c9d38e6e0385030257eeb7caf867daf105640d626cd061f58

Aliases

arxiv: 0910.0069 · arxiv_version: 0910.0069v7 · doi: 10.48550/arxiv.0910.0069 · pith_short_12: EK66AYT3ADZW · pith_short_16: EK66AYT3ADZWZHJY · pith_short_8: EK66AYT3

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/EK66AYT3ADZWZHJY43QDQUBQEV \
  | 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: 22bde0627b00f36c9d38e6e0385030257eeb7caf867daf105640d626cd061f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10e743acadea1e7761016a77c253880ef57d00795e9550f96deb090c510f875",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-01T10:30:24Z",
    "title_canon_sha256": "fe3739285cb73e109aa78df9f29258ab7d9f9d1b6f10d21a84090f6d8c9ab6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0069",
    "kind": "arxiv",
    "version": 7
  }
}