Pith Number

pith:5S4J7FJE

pith:2012:5S4J7FJESSJG42IY5D5POX6TK6

not attested not anchored not stored refs pending

Uncertain Congestion Games with Assorted Human Agent Populations

Asrar Ahmed, Pradeep Varakantham, Shih-Fen Cheng

arxiv:1210.4848 v1 · 2012-10-16 · cs.GT · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S4J7FJESSJG42IY5D5POX6TK6}

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	2026-05-18T03:42:55.506611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb89f952494926e6918e8faf75fd357a4b3ee216fe97d0fe2f9184cdf7ba4b3

Aliases

arxiv: 1210.4848 · arxiv_version: 1210.4848v1 · doi: 10.48550/arxiv.1210.4848 · pith_short_12: 5S4J7FJESSJG · pith_short_16: 5S4J7FJESSJG42IY · pith_short_8: 5S4J7FJE

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/5S4J7FJESSJG42IY5D5POX6TK6 \
  | 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: ecb89f952494926e6918e8faf75fd357a4b3ee216fe97d0fe2f9184cdf7ba4b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d4cca8f78b01aa219c4c1e6f03319a5400141c6ab76cae27d986a2fcae3bc3",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-10-16T17:35:13Z",
    "title_canon_sha256": "5df014a5e4e34022886d0f463b1f5eb876864f05d0ff08e8b861563bb4b9141c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4848",
    "kind": "arxiv",
    "version": 1
  }
}