Pith Number

pith:NNTC2PMG

pith:2017:NNTC2PMG4ZFQJJLK5XDWJH3SGT

not attested not anchored not stored refs pending

Spread, then Target, and Advertise in Waves: Optimal Budget Allocation Across Advertising Channels

Ananthram Swami, Qing Zhao, Raissa D'Souza, Santosh S. Venkatesh, Saswati Sarkar, Soheil Eshghi, Victor M. Preciado

arxiv:1702.03432 v2 · 2017-02-11 · math.OC · 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{NNTC2PMG4ZFQJJLK5XDWJH3SGT}

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	2026-05-18T00:10:04.361222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b662d3d86e64b04a56aedc7649f7234f36168b6dace2b8ad38e2b0b4fecfb60

Aliases

arxiv: 1702.03432 · arxiv_version: 1702.03432v2 · doi: 10.48550/arxiv.1702.03432 · pith_short_12: NNTC2PMG4ZFQ · pith_short_16: NNTC2PMG4ZFQJJLK · pith_short_8: NNTC2PMG

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/NNTC2PMG4ZFQJJLK5XDWJH3SGT \
  | 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: 6b662d3d86e64b04a56aedc7649f7234f36168b6dace2b8ad38e2b0b4fecfb60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99d5907712fca639858a111b17cce71993ce7197cf5b7355282968f4ea5f67f",
    "cross_cats_sorted": [
      "cs.SI",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-11T15:45:51Z",
    "title_canon_sha256": "c4fae3cfea972049dba9c74a1f02af717da1a4c60022348ff95dced66a1a3508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03432",
    "kind": "arxiv",
    "version": 2
  }
}