Pith Number

pith:YJKGJVFS

pith:2013:YJKGJVFSJNP6FA25JEWAHW5MLA

not attested not anchored not stored refs pending

Robustness of large-scale stochastic matrices to localized perturbations

Fabio Fagnani, Giacomo Como

arxiv:1309.0158 v3 · 2013-08-31 · math.PR · cs.DM · cs.SI · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJKGJVFSJNP6FA25JEWAHW5MLA}

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	2026-05-18T02:07:32.167328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c25464d4b24b5fe2835d492c03dbac580100bcda3d7a7a41a8305b401a395a06

Aliases

arxiv: 1309.0158 · arxiv_version: 1309.0158v3 · doi: 10.48550/arxiv.1309.0158 · pith_short_12: YJKGJVFSJNP6 · pith_short_16: YJKGJVFSJNP6FA25 · pith_short_8: YJKGJVFS

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/YJKGJVFSJNP6FA25JEWAHW5MLA \
  | 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: c25464d4b24b5fe2835d492c03dbac580100bcda3d7a7a41a8305b401a395a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0204176a4f050c1db7b9e622434f837f1698aff0cd4f32260915342ec5fac146",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-31T21:09:46Z",
    "title_canon_sha256": "145d9ee9365df6a208d0ff81a89a1ba2c9c33cf60beac021e6db4d2e13065de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0158",
    "kind": "arxiv",
    "version": 3
  }
}