Pith Number

pith:LCIFGKGJ

pith:2015:LCIFGKGJ45TUSTGGJ6PHAZTH47

not attested not anchored not stored refs pending

Multispecies totally asymmetric zero range process: I. Multiline process and combinatorial $R$

Atsuo Kuniba, Masato Okado, Shouya Maruyama

arxiv:1511.09168 v2 · 2015-11-30 · math-ph · cond-mat.stat-mech · math.MP · math.QA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCIFGKGJ45TUSTGGJ6PHAZTH47}

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	2026-05-18T01:02:45.443943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58905328c9e767494cc64f9e706667e7ccbb469558baea3c40bcb066f5b33d8e

Aliases

arxiv: 1511.09168 · arxiv_version: 1511.09168v2 · doi: 10.48550/arxiv.1511.09168 · pith_short_12: LCIFGKGJ45TU · pith_short_16: LCIFGKGJ45TUSTGG · pith_short_8: LCIFGKGJ

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/LCIFGKGJ45TUSTGGJ6PHAZTH47 \
  | 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: 58905328c9e767494cc64f9e706667e7ccbb469558baea3c40bcb066f5b33d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756b8f75d6ccc873fda8e4882f4ae85803e0e891138bebb5d51b25f55587801a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-30T05:46:19Z",
    "title_canon_sha256": "6c45f473ccbf8baecac278c3efd0d2448f7cff1853d7bdbf4efbc07ab1c0aeb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09168",
    "kind": "arxiv",
    "version": 2
  }
}