Pith Number

pith:JB4HL7MN

pith:2010:JB4HL7MN72ILXTQDM6QZL3QJTL

not attested not anchored not stored refs pending

Mixing of the symmetric exclusion processes in terms of the corresponding single-particle random walk

Roberto Imbuzeiro Oliveira

arxiv:1007.2669 v3 · 2010-07-15 · 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{JB4HL7MN72ILXTQDM6QZL3QJTL}

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	2026-05-18T03:30:54.105898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487875fd8dfe90bbce0367a195ee099ace61873383b1fca53a9ef86da35a8c41

Aliases

arxiv: 1007.2669 · arxiv_version: 1007.2669v3 · doi: 10.48550/arxiv.1007.2669 · pith_short_12: JB4HL7MN72IL · pith_short_16: JB4HL7MN72ILXTQD · pith_short_8: JB4HL7MN

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/JB4HL7MN72ILXTQDM6QZL3QJTL \
  | 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: 487875fd8dfe90bbce0367a195ee099ace61873383b1fca53a9ef86da35a8c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07aa5a75849f6f91e7f97388618b0ac452995426b8132f6f8d837ee367b6f9e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-15T22:30:06Z",
    "title_canon_sha256": "f6212c9e357a96ee90dcb94d0e4d0b5d84d2ab5904c59e9c577e203dca1501e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2669",
    "kind": "arxiv",
    "version": 3
  }
}