Pith Number

pith:HI764P46

pith:2013:HI764P46CMVDG75JNFM7AOJL3F

not attested not anchored not stored refs pending

Asymmetric-valued Spectrum Auction and Competition in Wireless Broadband Services

Sang Yeob Jung, Seong-Lyun Kim, Seung Min Yu

arxiv:1307.7838 v2 · 2013-07-30 · cs.NI · 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{HI764P46CMVDG75JNFM7AOJL3F}

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	2026-05-18T03:01:10.371608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3fee3f9e132a337fa96959f0392bd9754d6fa870065f45b8e83387cf1b41a1

Aliases

arxiv: 1307.7838 · arxiv_version: 1307.7838v2 · doi: 10.48550/arxiv.1307.7838 · pith_short_12: HI764P46CMVD · pith_short_16: HI764P46CMVDG75J · pith_short_8: HI764P46

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/HI764P46CMVDG75JNFM7AOJL3F \
  | 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: 3a3fee3f9e132a337fa96959f0392bd9754d6fa870065f45b8e83387cf1b41a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c092857dd93421da8e18eed1066664b916c0edf4bc55f9c860557f55cebba4",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2013-07-30T06:51:02Z",
    "title_canon_sha256": "1bfd4cd32201ae6546e8a5b0aedd7b2bff78ff738cff8113cc4c9f2cb056b7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7838",
    "kind": "arxiv",
    "version": 2
  }
}