Pith Number

pith:Z6TPYXDY

pith:2016:Z6TPYXDYZZLXL25XFYDSWDCEKD

not attested not anchored not stored refs pending

Hotelling-Downs Model with Limited Attraction

Weiran Shen, Zihe Wang

arxiv:1611.05959 v1 · 2016-11-18 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6TPYXDYZZLXL25XFYDSWDCEKD}

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	2026-05-18T00:57:43.393754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa6fc5c78ce5775ebb72e072b0c4450fb80f5be0a8d8bcee0939afcdd612360

Aliases

arxiv: 1611.05959 · arxiv_version: 1611.05959v1 · doi: 10.48550/arxiv.1611.05959 · pith_short_12: Z6TPYXDYZZLX · pith_short_16: Z6TPYXDYZZLXL25X · pith_short_8: Z6TPYXDY

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/Z6TPYXDYZZLXL25XFYDSWDCEKD \
  | 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: cfa6fc5c78ce5775ebb72e072b0c4450fb80f5be0a8d8bcee0939afcdd612360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b782fe5087b2b288138233205372b43f20c93ae6202f252e477042bc450f165",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-11-18T03:10:40Z",
    "title_canon_sha256": "77e5f77026922b6fbfff2952e758583a767c5465d87582b5e83e3aee58dbe4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05959",
    "kind": "arxiv",
    "version": 1
  }
}