Pith Number

pith:UMZRMVRP

pith:2014:UMZRMVRPVZ3XZBSY36KG2WWXNM

not attested not anchored not stored refs pending

Core-like groups result in invalidation of identifying super-spreader by k-shell decomposition

Ming Tang, Tao Zhou, Ying Liu, Younghae Do

arxiv:1409.5187 v2 · 2014-09-18 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMZRMVRPVZ3XZBSY36KG2WWXNM}

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	2026-05-18T02:00:58.828768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a33316562fae777c8658df946d5ad76b1517f654db6cb16d59d25e094d771f3c

Aliases

arxiv: 1409.5187 · arxiv_version: 1409.5187v2 · doi: 10.48550/arxiv.1409.5187 · pith_short_12: UMZRMVRPVZ3X · pith_short_16: UMZRMVRPVZ3XZBSY · pith_short_8: UMZRMVRP

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/UMZRMVRPVZ3XZBSY36KG2WWXNM \
  | 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: a33316562fae777c8658df946d5ad76b1517f654db6cb16d59d25e094d771f3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e14b02c1247fcda35f5d43e2ebcf98d68728457fe0d633cd3cb68f8183a998c",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-09-18T04:26:00Z",
    "title_canon_sha256": "42bf9f103f88c72d120e3a2b08328a061dc6e2147281ae8a755062ba484b578c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5187",
    "kind": "arxiv",
    "version": 2
  }
}