Pith Number

pith:GTX67H4M

pith:2011:GTX67H4MEGWDKZ3HWUKYJNW2XY

not attested not anchored not stored refs pending

Competition and Regulation in Wireless Services Markets

George Iosifidis, Iordanis Koutsopoulos, Omer Korcak, Tansu Alpcan

arxiv:1112.2437 v3 · 2011-12-12 · cs.NI · cs.GT · 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{GTX67H4MEGWDKZ3HWUKYJNW2XY}

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	2026-05-18T03:45:53.158090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34efef9f8c21ac356767b51584b6dabe3ab224775e1e5505a4d2577db691e388

Aliases

arxiv: 1112.2437 · arxiv_version: 1112.2437v3 · doi: 10.48550/arxiv.1112.2437 · pith_short_12: GTX67H4MEGWD · pith_short_16: GTX67H4MEGWDKZ3H · pith_short_8: GTX67H4M

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/GTX67H4MEGWDKZ3HWUKYJNW2XY \
  | 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: 34efef9f8c21ac356767b51584b6dabe3ab224775e1e5505a4d2577db691e388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e193796c5845d1b915c2ba790501fb88ac3c14edfb3e1d8e5462faf032729c37",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-12-12T04:18:16Z",
    "title_canon_sha256": "75af820d7a898b7bdac89dd99a3d0c7148f6a14647d29020a8c2dac5c2d1d812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2437",
    "kind": "arxiv",
    "version": 3
  }
}