Pith Number

pith:W5MEIW5S

pith:2015:W5MEIW5S7ZUEISFBBETHJ6WAFJ

not attested not anchored not stored refs pending

Limit cycles for a class of eleventh $\mathbb{Z}_{12}-$equivariant systems without infinite critical points

Adrian C. Murza

arxiv:1511.09243 v3 · 2015-11-30 · 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{W5MEIW5S7ZUEISFBBETHJ6WAFJ}

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	2026-05-18T00:59:58.939834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b758445bb2fe684448a1092674fac02a4e296049ee3f4af6c32f13e9f30ad979

Aliases

arxiv: 1511.09243 · arxiv_version: 1511.09243v3 · doi: 10.48550/arxiv.1511.09243 · pith_short_12: W5MEIW5S7ZUE · pith_short_16: W5MEIW5S7ZUEISFB · pith_short_8: W5MEIW5S

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/W5MEIW5S7ZUEISFBBETHJ6WAFJ \
  | 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: b758445bb2fe684448a1092674fac02a4e296049ee3f4af6c32f13e9f30ad979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f2fbe92d137b2d88cbad55f8107ff97cf8cf9cc70552cf824fe579e26a7c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-30T11:22:01Z",
    "title_canon_sha256": "31e8b2d0a6c735987e22fc921cf082dbf27f5607d928ddbb4b56dfef5929c4d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09243",
    "kind": "arxiv",
    "version": 3
  }
}