Pith Number

pith:RTYIKTAG

pith:1999:RTYIKTAGLBK5HF4AHZLU5TIH64

not attested not anchored not stored refs pending

Hydrodynamics for totally asymmetric $k$-step exclusion processes

Ellen Saada, Herve Guiol, Krishnamurthi Ravishankar

arxiv:math/9911213 v1 · 1999-11-26 · 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{RTYIKTAGLBK5HF4AHZLU5TIH64}

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	2026-05-18T04:36:42.363347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cf0854c065855d397803e574ecd07f736d04c4c738575d1c44dac256de704cc

Aliases

arxiv: math/9911213 · arxiv_version: math/9911213v1 · doi: 10.48550/arxiv.math/9911213 · pith_short_12: RTYIKTAGLBK5 · pith_short_16: RTYIKTAGLBK5HF4A · pith_short_8: RTYIKTAG

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/RTYIKTAGLBK5HF4AHZLU5TIH64 \
  | 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: 8cf0854c065855d397803e574ecd07f736d04c4c738575d1c44dac256de704cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084fed437234b0f27dde413f98ff9f63a7de42ce0eb3ffcc6f8c4d57c236fa57",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1999-11-26T16:13:48Z",
    "title_canon_sha256": "2cdc769617c4d983f4194081d29ec7141387f2812d26d91e1249c403761ef896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911213",
    "kind": "arxiv",
    "version": 1
  }
}