Pith Number

pith:2HR475XB

pith:2014:2HR475XB6XMOXQLXCKZOOYZFHH

not attested not anchored not stored refs pending

On the Robustness of the Approximate Price of Anarchy in Generalized Congestion Games

Vittorio Bil\`o

arxiv:1412.0845 v1 · 2014-12-02 · 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{2HR475XB6XMOXQLXCKZOOYZFHH}

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	2026-05-18T02:32:21.042148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e3cff6e1f5d8ebc17712b2e7632539c538ea92fbc236c508ea1717870758a0

Aliases

arxiv: 1412.0845 · arxiv_version: 1412.0845v1 · doi: 10.48550/arxiv.1412.0845 · pith_short_12: 2HR475XB6XMO · pith_short_16: 2HR475XB6XMOXQLX · pith_short_8: 2HR475XB

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/2HR475XB6XMOXQLXCKZOOYZFHH \
  | 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: d1e3cff6e1f5d8ebc17712b2e7632539c538ea92fbc236c508ea1717870758a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a9fb32b464c7e7dbb42b63f37218f6c18d8c5c17659f6a0ccb063740098772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-12-02T10:30:27Z",
    "title_canon_sha256": "b071e2339b215e2e21760437df1f635aa02c597845836bcb9770f30ccd860d70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0845",
    "kind": "arxiv",
    "version": 1
  }
}