Pith Number

pith:33E4WZIO

pith:2012:33E4WZIOMSGOJTXT4PZKSYAZRZ

not attested not anchored not stored refs pending

Evolutionary Game Theory on Measure Spaces: Asymptotic Behavior of Solutions

Azmy S. Ackleh, John Cleveland

arxiv:1202.3689 v1 · 2012-02-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33E4WZIOMSGOJTXT4PZKSYAZRZ}

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	2026-05-18T04:02:12.568143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec9cb650e648ce4cef3e3f2a960198e40de93c00cd17c40d4dfd4826c3a98a6

Aliases

arxiv: 1202.3689 · arxiv_version: 1202.3689v1 · doi: 10.48550/arxiv.1202.3689 · pith_short_12: 33E4WZIOMSGO · pith_short_16: 33E4WZIOMSGOJTXT · pith_short_8: 33E4WZIO

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/33E4WZIOMSGOJTXT4PZKSYAZRZ \
  | 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: dec9cb650e648ce4cef3e3f2a960198e40de93c00cd17c40d4dfd4826c3a98a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd477d66e85e160b1617b82dcd8208612f0bf569ea25ddee32a3d2d8a0f91783",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-16T20:27:02Z",
    "title_canon_sha256": "62ad1b2fdf0f0172b8925a626898d5820d7cf7d161e7fdd9d645e0f6bb273f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3689",
    "kind": "arxiv",
    "version": 1
  }
}