Pith Number

pith:ISCBUAIM

pith:2013:ISCBUAIMDGG2AUV57R6V2LVUZW

not attested not anchored not stored refs pending

Polylogarithmic Supports are required for Approximate Well-Supported Nash Equilibria below 2/3

Adrian Vetta, Rahul Savani, Sergey Norin, Yogesh Anbalagan

arxiv:1309.7258 v2 · 2013-09-27 · 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{ISCBUAIMDGG2AUV57R6V2LVUZW}

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	2026-05-18T02:55:57.257944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44841a010c198da052bdfc7d5d2eb4cdbefc84d37599ae3f136aa3f179c93a90

Aliases

arxiv: 1309.7258 · arxiv_version: 1309.7258v2 · doi: 10.48550/arxiv.1309.7258 · pith_short_12: ISCBUAIMDGG2 · pith_short_16: ISCBUAIMDGG2AUV5 · pith_short_8: ISCBUAIM

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/ISCBUAIMDGG2AUV57R6V2LVUZW \
  | 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: 44841a010c198da052bdfc7d5d2eb4cdbefc84d37599ae3f136aa3f179c93a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878b70f371cfd01fadcd5f9e73727cbb55a0d2f3f81b9401d88be4b92d4e435b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-09-27T15:01:32Z",
    "title_canon_sha256": "f5b8c92be2e4f50406f295af724e9c1f144c233ebfaa2756ce15c06aa77bad34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7258",
    "kind": "arxiv",
    "version": 2
  }
}