Pith Number

pith:M5QLQVEF

pith:2019:M5QLQVEFJBRJFNXNO3DAUQPLZY

not attested not anchored not stored refs pending

Negative Prices in Network Pricing Games

Andr\'es Cristi, Marc Schr\"oder

arxiv:1904.08884 v1 · 2019-04-18 · 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{M5QLQVEFJBRJFNXNO3DAUQPLZY}

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	2026-05-17T23:48:12.648978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6760b85485486292b6ed76c60a41ebce08a80fa633bb6901e9f46294534b0e92

Aliases

arxiv: 1904.08884 · arxiv_version: 1904.08884v1 · doi: 10.48550/arxiv.1904.08884 · pith_short_12: M5QLQVEFJBRJ · pith_short_16: M5QLQVEFJBRJFNXN · pith_short_8: M5QLQVEF

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/M5QLQVEFJBRJFNXNO3DAUQPLZY \
  | 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: 6760b85485486292b6ed76c60a41ebce08a80fa633bb6901e9f46294534b0e92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16df595825dc12701017a1aa271f4851a37fe65fff413adca56c980b3c2712d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-04-18T16:50:09Z",
    "title_canon_sha256": "6520d14c0ec4197512736e6a10a10dd1343aac47e3bd2dd430505e1e905a789c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08884",
    "kind": "arxiv",
    "version": 1
  }
}