Pith Number

pith:GJQBLSLN

pith:2003:GJQBLSLNEAJPL3ZBCKCLEOYON5

not attested not anchored not stored refs pending

Perturbations of the Symmetric Exclusion Process

Paul Jung

arxiv:math/0309237 v3 · 2003-09-15 · 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{GJQBLSLNEAJPL3ZBCKCLEOYON5}

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	2026-07-04T14:37:43.325457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326015c96d2012f5ef211284b23b0e6f49fbafb8186d279d4b0c816f3654ee55

Aliases

arxiv: math/0309237 · arxiv_version: math/0309237v3 · doi: 10.48550/arxiv.math/0309237 · pith_short_12: GJQBLSLNEAJP · pith_short_16: GJQBLSLNEAJPL3ZB · pith_short_8: GJQBLSLN

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/GJQBLSLNEAJPL3ZBCKCLEOYON5 \
  | 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: 326015c96d2012f5ef211284b23b0e6f49fbafb8186d279d4b0c816f3654ee55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976b14e44b6602619021f807fe7646f490983ecc05b2f3dc5fef8984fe651162",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-09-15T00:25:17Z",
    "title_canon_sha256": "8dba495fe0ea2a54332dee4dfc162de4b4068ae5570df19c7fc04480bd5cca1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309237",
    "kind": "arxiv",
    "version": 3
  }
}