Pith Number

pith:F3R3DGCC

pith:2018:F3R3DGCC57UEONNPRTMRCQ2Z6T

not attested not anchored not stored refs pending

Passivity Analysis of Replicator Dynamics and its Variations

Mohamed Mabrok

arxiv:1812.07164 v1 · 2018-12-18 · 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{F3R3DGCC57UEONNPRTMRCQ2Z6T}

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	2026-05-17T23:58:07.774408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee3b19842efe84735af8cd9114359f4e8fa478f7d5a8c1322450af7c4fd6b35

Aliases

arxiv: 1812.07164 · arxiv_version: 1812.07164v1 · doi: 10.48550/arxiv.1812.07164 · pith_short_12: F3R3DGCC57UE · pith_short_16: F3R3DGCC57UEONNP · pith_short_8: F3R3DGCC

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/F3R3DGCC57UEONNPRTMRCQ2Z6T \
  | 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: 2ee3b19842efe84735af8cd9114359f4e8fa478f7d5a8c1322450af7c4fd6b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed6296e7c053a2ffb2cf343b2283f61042d5f86b03bb4593bb73d9f46bc846f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-18T04:32:23Z",
    "title_canon_sha256": "d76804de11eebe4dceca8a7d6aa0e1852a476651651d0a785cdc7d645ff0d3c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07164",
    "kind": "arxiv",
    "version": 1
  }
}