Pith Number

pith:PWCA3ESG

pith:2015:PWCA3ESG6DXFNWCIXXLZNYYD3C

not attested not anchored not stored refs pending

On the relationship between imitative logit dynamics in the population game theory and mirror descent method in the online optimization using the example of the Shortest Path Problem

Alexander Gasnikov, Anastasia Lagunovskaya, Larisa Morozova

arxiv:1511.02398 v5 · 2015-11-07 · 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{PWCA3ESG6DXFNWCIXXLZNYYD3C}

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	2026-05-18T01:15:58.013628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d840d9246f0ee56d848bdd796e303d88b23f82f42f2c02097fabb4096f83955

Aliases

arxiv: 1511.02398 · arxiv_version: 1511.02398v5 · doi: 10.48550/arxiv.1511.02398 · pith_short_12: PWCA3ESG6DXF · pith_short_16: PWCA3ESG6DXFNWCI · pith_short_8: PWCA3ESG

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/PWCA3ESG6DXFNWCIXXLZNYYD3C \
  | 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: 7d840d9246f0ee56d848bdd796e303d88b23f82f42f2c02097fabb4096f83955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e577964860758b97af6d0b20458601ceed5326971a9762736f266cada015e096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-07T20:35:40Z",
    "title_canon_sha256": "61b3bb74755fa30c21cc43de28b93cce6d1c84ce1719e24c79de310d56946872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02398",
    "kind": "arxiv",
    "version": 5
  }
}