Pith Number

pith:HSO347JB

pith:2017:HSO347JBI5XOVJY4GJDWJPAUWR

not attested not anchored not stored refs pending

Blocks and Gaps in the Asymmetric Simple Exclusion Process: Asymptotics

Craig A. Tracy, Harold Widom

arxiv:1711.08094 v2 · 2017-11-22 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSO347JBI5XOVJY4GJDWJPAUWR}

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	2026-05-18T00:11:50.239246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9dbe7d21476eeaa71c324764bc14b44e7208458016f724985483560a358818

Aliases

arxiv: 1711.08094 · arxiv_version: 1711.08094v2 · doi: 10.48550/arxiv.1711.08094 · pith_short_12: HSO347JBI5XO · pith_short_16: HSO347JBI5XOVJY4 · pith_short_8: HSO347JB

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/HSO347JBI5XOVJY4GJDWJPAUWR \
  | 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: 3c9dbe7d21476eeaa71c324764bc14b44e7208458016f724985483560a358818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7e5dfe2653d2febe99fafa571776a8e9c807cab443c4d35f763cb7224c42a4",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-22T00:58:38Z",
    "title_canon_sha256": "edfe7a1c30a30e9dd7278804b80358245544b89f2178023fca0d752c6abed541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08094",
    "kind": "arxiv",
    "version": 2
  }
}