Pith Number

pith:4FL5Y4SC

pith:2006:4FL5Y4SCFOVPS5M2YBQGSDP4N3

not attested not anchored not stored refs pending

On the free energy of a directed polymer in a Brownian environment

John Moriarty, Neil O'Connell

arxiv:math/0606296 v1 · 2006-06-13 · 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{4FL5Y4SCFOVPS5M2YBQGSDP4N3}

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	2026-05-18T03:34:00.442704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e157dc72422baaf9759ac060690dfc6efe1d778504f87c35d1f9a8af862e38c5

Aliases

arxiv: math/0606296 · arxiv_version: math/0606296v1 · doi: 10.48550/arxiv.math/0606296 · pith_short_12: 4FL5Y4SCFOVP · pith_short_16: 4FL5Y4SCFOVPS5M2 · pith_short_8: 4FL5Y4SC

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/4FL5Y4SCFOVPS5M2YBQGSDP4N3 \
  | 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: e157dc72422baaf9759ac060690dfc6efe1d778504f87c35d1f9a8af862e38c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac588aefb84efdb0f0561efa7920ed5633cc98a675fb166fd9f92eef99741f4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-06-13T19:21:46Z",
    "title_canon_sha256": "0efc1c7a40cdd6469d34e985e1e94d97c633b21d3dd2648aaace86bda25ab51f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606296",
    "kind": "arxiv",
    "version": 1
  }
}