Pith Number

pith:F7G7HTWT

pith:2013:F7G7HTWTSBMYLUNIPT2ND2QAWL

not attested not anchored not stored refs pending

Quality Sensitive Price Competition in Spectrum Oligopoly

Arnob Ghosh, Saswati Sarkar

arxiv:1305.3351 v2 · 2013-05-15 · 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{F7G7HTWTSBMYLUNIPT2ND2QAWL}

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	2026-05-18T02:53:41.443392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fcdf3ced3905985d1a87cf4d1ea00b2d559c8a3db25b8e83158b2d40063e862

Aliases

arxiv: 1305.3351 · arxiv_version: 1305.3351v2 · doi: 10.48550/arxiv.1305.3351 · pith_short_12: F7G7HTWTSBMY · pith_short_16: F7G7HTWTSBMYLUNI · pith_short_8: F7G7HTWT

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/F7G7HTWTSBMYLUNIPT2ND2QAWL \
  | 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: 2fcdf3ced3905985d1a87cf4d1ea00b2d559c8a3db25b8e83158b2d40063e862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdafc931361a25a243b172e9d3315d0971636b9267017eabba439083550a46a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-05-15T03:42:45Z",
    "title_canon_sha256": "a5523248fa5a781bd4c9fab12c2d21c937038e34a09f2637bab692a5e1251a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3351",
    "kind": "arxiv",
    "version": 2
  }
}