Pith Number

pith:VTPWHJQ6

pith:2015:VTPWHJQ6T2MDJGASWMUOJJNUI5

not attested not anchored not stored refs pending

Distributed Methods for Computing Approximate Equilibria

Argyrios Deligkas, Artur Czumaj, John Fearnley, Marcin Jurdzi\'nski, Michail Fasoulakis, Rahul Savani

arxiv:1512.03315 v1 · 2015-12-10 · 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{VTPWHJQ6T2MDJGASWMUOJJNUI5}

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	2026-05-18T00:03:37.563436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acdf63a61e9e98349812b328e4a5b44748447f5b55fd747771035fd91beb1253

Aliases

arxiv: 1512.03315 · arxiv_version: 1512.03315v1 · doi: 10.48550/arxiv.1512.03315 · pith_short_12: VTPWHJQ6T2MD · pith_short_16: VTPWHJQ6T2MDJGAS · pith_short_8: VTPWHJQ6

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/VTPWHJQ6T2MDJGASWMUOJJNUI5 \
  | 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: acdf63a61e9e98349812b328e4a5b44748447f5b55fd747771035fd91beb1253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee54a54e183ee8b8cfd3aff11bceff497d01ccd7225a64bd2a629e70db0a3f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-12-10T16:39:38Z",
    "title_canon_sha256": "854ec7aa00986ca50856ba802829dc95a18dcf4b3db5fc8307a99895bd681d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03315",
    "kind": "arxiv",
    "version": 1
  }
}