Pith Number

pith:WPFRML32

pith:2019:WPFRML32D2WD5PPQBAP2Z5WFCN

not attested not anchored not stored refs pending

Optimal Nash Equilibria for Bandwidth Allocation

Benjamin Plaut

arxiv:1904.03322 v2 · 2019-04-06 · 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{WPFRML32D2WD5PPQBAP2Z5WFCN}

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	2026-05-17T23:46:52.457095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3cb162f7a1eac3ebdf0081facf6c51366c95574b6927023b790f2562368d5ca

Aliases

arxiv: 1904.03322 · arxiv_version: 1904.03322v2 · doi: 10.48550/arxiv.1904.03322 · pith_short_12: WPFRML32D2WD · pith_short_16: WPFRML32D2WD5PPQ · pith_short_8: WPFRML32

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/WPFRML32D2WD5PPQBAP2Z5WFCN \
  | 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: b3cb162f7a1eac3ebdf0081facf6c51366c95574b6927023b790f2562368d5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c03aa9bcfe0d664f034b12c63f3afa34bd5dcf62893f15f20a72313a89c295c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-04-06T00:16:03Z",
    "title_canon_sha256": "8d07d4453d5ae59cbf8b424e7b04ae1043de0badd3326542d63e1479120c4a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03322",
    "kind": "arxiv",
    "version": 2
  }
}