Pith Number

pith:IWQ626RA

pith:2016:IWQ626RAKA43Y4HXLQERRWVJTX

not attested not anchored not stored refs pending

Congestion Games with Mixed Objectives

Alexander Skopalik, Lennart Leder, Matthias Feldotto

arxiv:1607.05143 v2 · 2016-07-18 · 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{IWQ626RAKA43Y4HXLQERRWVJTX}

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	2026-05-18T00:54:15.502998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a1ed7a205039bc70f75c0918daa99dc66adc1d389685b9a1397e9e4143dc9c

Aliases

arxiv: 1607.05143 · arxiv_version: 1607.05143v2 · doi: 10.48550/arxiv.1607.05143 · pith_short_12: IWQ626RAKA43 · pith_short_16: IWQ626RAKA43Y4HX · pith_short_8: IWQ626RA

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/IWQ626RAKA43Y4HXLQERRWVJTX \
  | 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: 45a1ed7a205039bc70f75c0918daa99dc66adc1d389685b9a1397e9e4143dc9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c5171baa4028efa52143b4e508a07b55ce2f12cf3e1efb598c2d669b9ac79f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-07-18T15:52:42Z",
    "title_canon_sha256": "69f538674cea7928311f856d940949b8673d7036938604fec033c1f26b719777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05143",
    "kind": "arxiv",
    "version": 2
  }
}