Pith Number

pith:HCRVMJKO

pith:2013:HCRVMJKOFYY4UEHGDCWWLJTZ54

not attested not anchored not stored refs pending

The asymmetric simple exclusion process with an open boundary

Craig A. Tracy, Harold Widom

arxiv:1304.0800 v1 · 2013-04-02 · 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{HCRVMJKOFYY4UEHGDCWWLJTZ54}

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	2026-05-18T03:11:13.133190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a356254e2e31ca10e618ad65a679ef029c9c038d77421b6557fbe7174fba50

Aliases

arxiv: 1304.0800 · arxiv_version: 1304.0800v1 · doi: 10.48550/arxiv.1304.0800 · pith_short_12: HCRVMJKOFYY4 · pith_short_16: HCRVMJKOFYY4UEHG · pith_short_8: HCRVMJKO

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/HCRVMJKOFYY4UEHGDCWWLJTZ54 \
  | 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: 38a356254e2e31ca10e618ad65a679ef029c9c038d77421b6557fbe7174fba50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ff6b6ab3a42c69d47e3f9ace5dc30bd426e5136272de317b28cff165ed7f69",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-02T20:58:51Z",
    "title_canon_sha256": "b18babc69a58ebefea9a7e22849a4f85774f5077f22be3fac94528c27727b990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0800",
    "kind": "arxiv",
    "version": 1
  }
}