Pith Number

pith:2UMHWAML

pith:2011:2UMHWAMLJXIS5TNVMBHM6IYWXC

not attested not anchored not stored refs pending

Incentive Mechanisms for Hierarchical Spectrum Markets

Anil Kumar Chorppath, George Iosifidis, Iordanis Koutsopoulos, Tansu Alpcan

arxiv:1111.4350 v3 · 2011-11-18 · 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{2UMHWAMLJXIS5TNVMBHM6IYWXC}

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	2026-05-18T02:21:28.834563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5187b018b4dd12ecdb5604ecf2316b89a31ab628d0ed86bdb514c6dd0b84f58

Aliases

arxiv: 1111.4350 · arxiv_version: 1111.4350v3 · doi: 10.48550/arxiv.1111.4350 · pith_short_12: 2UMHWAMLJXIS · pith_short_16: 2UMHWAMLJXIS5TNV · pith_short_8: 2UMHWAML

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/2UMHWAMLJXIS5TNVMBHM6IYWXC \
  | 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: d5187b018b4dd12ecdb5604ecf2316b89a31ab628d0ed86bdb514c6dd0b84f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f327ba244455ba5a03b165cce0cf65e3bcc2d1bc936c54357e8a9c6905bbf5",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-11-18T13:03:25Z",
    "title_canon_sha256": "f2386d293fbf23349b1142c3f92518fbad1ed3885e18d47a72f89d8fe0c00f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4350",
    "kind": "arxiv",
    "version": 3
  }
}