Pith Number

pith:GXVCX5HT

pith:2008:GXVCX5HTZDAEW5ROAGLGZUW7LQ

not attested not anchored not stored refs pending

Stackelberg Network Pricing is Hard to Approximate

Gwena\"el Joret

arxiv:0812.0320 v1 · 2008-12-01 · cs.DS · 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{GXVCX5HTZDAEW5ROAGLGZUW7LQ}

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	2026-05-18T04:27:27.240161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ea2bf4f3c8c04b762e01966cd2df5c39a95b6e3f98a762b94f9f9dac398c96

Aliases

arxiv: 0812.0320 · arxiv_version: 0812.0320v1 · doi: 10.48550/arxiv.0812.0320 · pith_short_12: GXVCX5HTZDAE · pith_short_16: GXVCX5HTZDAEW5RO · pith_short_8: GXVCX5HT

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/GXVCX5HTZDAEW5ROAGLGZUW7LQ \
  | 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: 35ea2bf4f3c8c04b762e01966cd2df5c39a95b6e3f98a762b94f9f9dac398c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea98cc6e8d2bb16535b30e280aa14071279040c82f06e6ca9f9b6e5c6f78aed1",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2008-12-01T16:15:58Z",
    "title_canon_sha256": "d9659efe93bb7537e75de10354df8384d1a8dad8b7b99dea46a94a8e5610f2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0320",
    "kind": "arxiv",
    "version": 1
  }
}