Pith Number

pith:FKSJ5XET

pith:2015:FKSJ5XETMJZR4JPJODH5UDZXYX

not attested not anchored not stored refs pending

Optimal resource allocation for competitive spreading processes on bilayer networks

Cameron Nowzari, George J. Pappas, Nicholas J. Watkins, Victor M. Preciado

arxiv:1512.05299 v1 · 2015-12-16 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKSJ5XETMJZR4JPJODH5UDZXYX}

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	2026-05-18T01:24:13.167501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa49edc9362731e25e970cfda0f37c5f9d1a8b2a8b1e6cb36fa6380cea44e9c

Aliases

arxiv: 1512.05299 · arxiv_version: 1512.05299v1 · doi: 10.48550/arxiv.1512.05299 · pith_short_12: FKSJ5XETMJZR · pith_short_16: FKSJ5XETMJZR4JPJ · pith_short_8: FKSJ5XET

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/FKSJ5XETMJZR4JPJODH5UDZXYX \
  | 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: 2aa49edc9362731e25e970cfda0f37c5f9d1a8b2a8b1e6cb36fa6380cea44e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f48286e82e10b7c3b321b2d18ff5a786ebb964f089506b015c6872b37a19e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-16T19:45:24Z",
    "title_canon_sha256": "7ada07caf3ec8afd3e9c5e37a82845a74a73510542e9111691b51ec9a1bad590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05299",
    "kind": "arxiv",
    "version": 1
  }
}