Pith Number

pith:D67W6ISB

pith:2014:D67W6ISBW2BKFBDO7KAXC6IJ7D

not attested not anchored not stored refs pending

Quality Sensitive Price Competition in Spectrum Oligopoly:Part 1

Arnob Ghosh, Saswati Sarkar

arxiv:1404.2514 v4 · 2014-04-06 · 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{D67W6ISBW2BKFBDO7KAXC6IJ7D}

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	2026-05-18T02:03:55.616212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbf6f2241b682a2846efa81717909f8ed3c944dff25fcf942b29bddfcfad690

Aliases

arxiv: 1404.2514 · arxiv_version: 1404.2514v4 · doi: 10.48550/arxiv.1404.2514 · pith_short_12: D67W6ISBW2BK · pith_short_16: D67W6ISBW2BKFBDO · pith_short_8: D67W6ISB

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/D67W6ISBW2BKFBDO7KAXC6IJ7D \
  | 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: 1fbf6f2241b682a2846efa81717909f8ed3c944dff25fcf942b29bddfcfad690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8fc5a248a61ca67aa089a0e2dda5cfe73d76f9551c30da466ea7f43aa582ec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-04-06T04:14:03Z",
    "title_canon_sha256": "de5c914e829573e5c167de8b0be59ae0542d7bcf95970ec7f32fa5b4007bb71b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2514",
    "kind": "arxiv",
    "version": 4
  }
}