Pith Number

pith:QWPR3JTC

pith:2012:QWPR3JTCEBUMY4M5OUFYMSPUGL

not attested not anchored not stored refs pending

Non-Existence of Stabilizing Policies for the Critical Push-Pull Network and Generalizations

Leonardo Rojas-Nandayapa, Thomas S. Salisbury, Yoni Nazarathy

arxiv:1208.5872 v2 · 2012-08-29 · 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{QWPR3JTCEBUMY4M5OUFYMSPUGL}

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	2026-05-18T01:00:54.314606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859f1da6622068cc719d750b8649f432c7062b54c19912014ff6ad0a5c8a4871

Aliases

arxiv: 1208.5872 · arxiv_version: 1208.5872v2 · doi: 10.48550/arxiv.1208.5872 · pith_short_12: QWPR3JTCEBUM · pith_short_16: QWPR3JTCEBUMY4M5 · pith_short_8: QWPR3JTC

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/QWPR3JTCEBUMY4M5OUFYMSPUGL \
  | 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: 859f1da6622068cc719d750b8649f432c7062b54c19912014ff6ad0a5c8a4871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c46e45b886a05d81202a5c63eb625baab3b589409b4384386cc2944f9e557cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-29T09:47:22Z",
    "title_canon_sha256": "6016dc11d4b6377f27ab65ab63a4a5e8521145270b0df39dfd58a714af2a338a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5872",
    "kind": "arxiv",
    "version": 2
  }
}