Pith Number

pith:KWMNA7U4

pith:2016:KWMNA7U4QP5H46QZG5FLRTGPWJ

not attested not anchored not stored refs pending

Spectral Bounds in Random Graphs Applied to Spreading Phenomena and Percolation

Kevin Scaman, Nicolas Vayatis, R\'emi Lemonnier

arxiv:1603.07970 v1 · 2016-03-25 · 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{KWMNA7U4QP5H46QZG5FLRTGPWJ}

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	2026-05-18T01:18:15.708413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5598d07e9c83fa7e7a19374ab8cccfb247eb59bee85aacd86770072e38e8ec4a

Aliases

arxiv: 1603.07970 · arxiv_version: 1603.07970v1 · doi: 10.48550/arxiv.1603.07970 · pith_short_12: KWMNA7U4QP5H · pith_short_16: KWMNA7U4QP5H46QZ · pith_short_8: KWMNA7U4

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/KWMNA7U4QP5H46QZG5FLRTGPWJ \
  | 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: 5598d07e9c83fa7e7a19374ab8cccfb247eb59bee85aacd86770072e38e8ec4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f7a60af163b7f35ec259d15e31381dc2c518efc3e71b29ed79e15e1335fc44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-25T17:39:47Z",
    "title_canon_sha256": "44b9e47b75a43fc4d2b1399e73d91b5c81a4354d53a76a7095e9bfba71b28498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07970",
    "kind": "arxiv",
    "version": 1
  }
}