Pith Number

pith:FS6HWBWN

pith:2016:FS6HWBWN7VXQZ2J5A5Q5JQJRFI

not attested not anchored not stored refs pending

Phase Transitions in the ASEP and Stochastic Six-Vertex Model

Alexei Borodin, Amol Aggarwal

arxiv:1607.08684 v1 · 2016-07-29 · 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{FS6HWBWN7VXQZ2J5A5Q5JQJRFI}

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	2026-05-18T01:10:16.051525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbc7b06cdfd6f0ce93d0761d4c1312a37408fa816a78b24e96cf0e91c159843

Aliases

arxiv: 1607.08684 · arxiv_version: 1607.08684v1 · doi: 10.48550/arxiv.1607.08684 · pith_short_12: FS6HWBWN7VXQ · pith_short_16: FS6HWBWN7VXQZ2J5 · pith_short_8: FS6HWBWN

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/FS6HWBWN7VXQZ2J5A5Q5JQJRFI \
  | 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: 2cbc7b06cdfd6f0ce93d0761d4c1312a37408fa816a78b24e96cf0e91c159843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6173aaa3936015cdc29021844da4fd826b458f54a4f434c0e2162523b90c70",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-29T04:06:38Z",
    "title_canon_sha256": "91d3d09118eb0b418d91e8c1c9e93e1f645d8d0e3d78341d6c01759275fc3647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08684",
    "kind": "arxiv",
    "version": 1
  }
}