Pith Number

pith:PXWM33WY

pith:2014:PXWM33WYJTUBGFKMRFEGRIRSSG

not attested not anchored not stored refs pending

Bi-orthogonal Polynomial Sequences and the Asymmetric Simple Exclusion Process

Richard Brak, William Moore

arxiv:1412.7235 v2 · 2014-12-23 · math-ph · math.MP · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXWM33WYJTUBGFKMRFEGRIRSSG}

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	2026-05-18T00:14:01.661271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7deccdeed84ce813154c894868a2329186861322226c3ed66d841f7eef1861bd

Aliases

arxiv: 1412.7235 · arxiv_version: 1412.7235v2 · doi: 10.48550/arxiv.1412.7235 · pith_short_12: PXWM33WYJTUB · pith_short_16: PXWM33WYJTUBGFKM · pith_short_8: PXWM33WY

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/PXWM33WYJTUBGFKMRFEGRIRSSG \
  | 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: 7deccdeed84ce813154c894868a2329186861322226c3ed66d841f7eef1861bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2e7900a4f3bcf66c6779211920be86b91f382b26f2fec3c3e5be14d64b7c85",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-23T02:06:13Z",
    "title_canon_sha256": "12f9e76bac2a3f99f75d50f63a23fe7ea3439b155b6625430378adf284f0cf0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7235",
    "kind": "arxiv",
    "version": 2
  }
}