Pith Number

pith:BYRUMKPB

pith:2016:BYRUMKPBNXT6YHESBA5XO7EORE

not attested not anchored not stored refs pending

Robustness Properties in Fictitious-Play-Type Algorithms

Brian Swenson, David S. Leslie, Jo\~ao Xavier, Soummya Kar

arxiv:1609.08830 v1 · 2016-09-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYRUMKPBNXT6YHESBA5XO7EORE}

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	2026-05-18T01:03:41.775625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e234629e16de7ec1c92083b777c8e89208721649134911bf5d3b7d1ba659aa7

Aliases

arxiv: 1609.08830 · arxiv_version: 1609.08830v1 · doi: 10.48550/arxiv.1609.08830 · pith_short_12: BYRUMKPBNXT6 · pith_short_16: BYRUMKPBNXT6YHES · pith_short_8: BYRUMKPB

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/BYRUMKPBNXT6YHESBA5XO7EORE \
  | 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: 0e234629e16de7ec1c92083b777c8e89208721649134911bf5d3b7d1ba659aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d086877567b81d5ca9487fab1f6a81694e27aaa0f5b489e7fc427e68e69b493f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-28T09:02:05Z",
    "title_canon_sha256": "1d4dcd6312f37e8281e7175aaca43241682612c9443b736ae5499618e8d7d9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08830",
    "kind": "arxiv",
    "version": 1
  }
}