Pith Number

pith:VXSC43KB

pith:2008:VXSC43KBWLFNB2FHZFFPXCESFL

not attested not anchored not stored refs pending

A Fredholm Determinant Representation in ASEP

Craig A. Tracy, Harold Widom

arxiv:0804.1379 v3 · 2008-04-09 · 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{VXSC43KBWLFNB2FHZFFPXCESFL}

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	2026-07-04T15:12:28.097392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade42e6d41b2cad0e8a7c94afb88922ae92d19fc6807ef35f3dc054093ed6937

Aliases

arxiv: 0804.1379 · arxiv_version: 0804.1379v3 · doi: 10.48550/arxiv.0804.1379 · pith_short_12: VXSC43KBWLFN · pith_short_16: VXSC43KBWLFNB2FH · pith_short_8: VXSC43KB

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/VXSC43KBWLFNB2FHZFFPXCESFL \
  | 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: ade42e6d41b2cad0e8a7c94afb88922ae92d19fc6807ef35f3dc054093ed6937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b431410eff343c4e6b67c18a35b4e77dfef38854dfa0a372cdf837106ce569",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-04-09T19:44:54Z",
    "title_canon_sha256": "7714c99702fd3f5d09b3d681643a116435f82b942ec47ba176cb804a5f4a9075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1379",
    "kind": "arxiv",
    "version": 3
  }
}