Pith Number

pith:2PF2BJML

pith:2013:2PF2BJMLFD7FLDYL2O3AWYRWWC

not attested not anchored not stored refs pending

Price of Anarchy for Non-atomic Congestion Games with Stochastic Demands

Bo Chen, Chenlan Wang, Xuan Vinh Doan

arxiv:1310.4874 v1 · 2013-10-17 · cs.GT · math.OC

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PF2BJMLFD7FLDYL2O3AWYRWWC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:10:02.379949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3cba0a58b28fe558f0bd3b60b6236b0aea1ae4a91d8a4d73fe579bc3c382e52

Aliases

arxiv: 1310.4874 · arxiv_version: 1310.4874v1 · doi: 10.48550/arxiv.1310.4874 · pith_short_12: 2PF2BJMLFD7F · pith_short_16: 2PF2BJMLFD7FLDYL · pith_short_8: 2PF2BJML

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/2PF2BJMLFD7FLDYL2O3AWYRWWC \
  | 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: d3cba0a58b28fe558f0bd3b60b6236b0aea1ae4a91d8a4d73fe579bc3c382e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225a548733a3be2a3c08374440adef827e1c5dfeae7e2b218e808f4f496dc32b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-10-17T23:54:29Z",
    "title_canon_sha256": "2453f8c3321f7628efbd3b3809aea9e8b51fdab0657a58cded3be9ad73cad414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4874",
    "kind": "arxiv",
    "version": 1
  }
}